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Finding the Fourth Proportional to 5,652.72, 7,801.47 and 4,707.09

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Solution

The fourth proportional to 5,652.72, 7,801.47 and 4,707.09 is: 6,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.72 : 7,801.47 = 4,707.09 : x
  2. Step 2: Convert to fraction form
    5,652.72/7,801.47 = 4,707.09/x
  3. Step 3: Cross multiply
    5,652.72x = 7,801.47 × 4,707.09
  4. Step 4: Simplify right side
    5,652.72x = 36,722,221.42
  5. Step 5: Solve for x
    x = 36,722,221.42/5,652.72
  6. Step 6: Final answer
    x = 6,496.38

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Half scale
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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.