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Finding the Fourth Proportional to 7,031.32, 9,701.92 and 4,047.28

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Solution

The fourth proportional to 7,031.32, 9,701.92 and 4,047.28 is: 5,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.32 : 9,701.92 = 4,047.28 : x
  2. Step 2: Convert to fraction form
    7,031.32/9,701.92 = 4,047.28/x
  3. Step 3: Cross multiply
    7,031.32x = 9,701.92 × 4,047.28
  4. Step 4: Simplify right side
    7,031.32x = 39,266,386.78
  5. Step 5: Solve for x
    x = 39,266,386.78/7,031.32
  6. Step 6: Final answer
    x = 5,584.50

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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.