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Finding the Fourth Proportional to 4,774.76, 6,574.20 and 4,337.36

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Solution

The fourth proportional to 4,774.76, 6,574.20 and 4,337.36 is: 5,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.76 : 6,574.20 = 4,337.36 : x
  2. Step 2: Convert to fraction form
    4,774.76/6,574.20 = 4,337.36/x
  3. Step 3: Cross multiply
    4,774.76x = 6,574.20 × 4,337.36
  4. Step 4: Simplify right side
    4,774.76x = 28,514,672.11
  5. Step 5: Solve for x
    x = 28,514,672.11/4,774.76
  6. Step 6: Final answer
    x = 5,971.96

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Half scale
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Double scale
Find fourth proportional to 4,775.76, 6,575.58 and 4,338.36
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.