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Finding the Fourth Proportional to 6,551.70, 9,827.55 and 6,422.10

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Solution

The fourth proportional to 6,551.70, 9,827.55 and 6,422.10 is: 9,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.70 : 9,827.55 = 6,422.10 : x
  2. Step 2: Convert to fraction form
    6,551.70/9,827.55 = 6,422.10/x
  3. Step 3: Cross multiply
    6,551.70x = 9,827.55 × 6,422.10
  4. Step 4: Simplify right side
    6,551.70x = 63,113,508.86
  5. Step 5: Solve for x
    x = 63,113,508.86/6,551.70
  6. Step 6: Final answer
    x = 9,633.15

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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.