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Finding the Fourth Proportional to 7,489.48, 10,335 and 4,132.32

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Solution

The fourth proportional to 7,489.48, 10,335 and 4,132.32 is: 5,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.48 : 10,335 = 4,132.32 : x
  2. Step 2: Convert to fraction form
    7,489.48/10,335 = 4,132.32/x
  3. Step 3: Cross multiply
    7,489.48x = 10,335 × 4,132.32
  4. Step 4: Simplify right side
    7,489.48x = 42,707,527.20
  5. Step 5: Solve for x
    x = 42,707,527.20/7,489.48
  6. Step 6: Final answer
    x = 5,702.34

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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.