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Finding the Fourth Proportional to 9,182.70, 13,774.05 and 6,590.70

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Solution

The fourth proportional to 9,182.70, 13,774.05 and 6,590.70 is: 9,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.70 : 13,774.05 = 6,590.70 : x
  2. Step 2: Convert to fraction form
    9,182.70/13,774.05 = 6,590.70/x
  3. Step 3: Cross multiply
    9,182.70x = 13,774.05 × 6,590.70
  4. Step 4: Simplify right side
    9,182.70x = 90,780,631.34
  5. Step 5: Solve for x
    x = 90,780,631.34/9,182.70
  6. Step 6: Final answer
    x = 9,886.05

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.