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Finding the Fourth Proportional to 7,031.61, 9,702.36 and 4,006.71

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Solution

The fourth proportional to 7,031.61, 9,702.36 and 4,006.71 is: 5,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.61 : 9,702.36 = 4,006.71 : x
  2. Step 2: Convert to fraction form
    7,031.61/9,702.36 = 4,006.71/x
  3. Step 3: Cross multiply
    7,031.61x = 9,702.36 × 4,006.71
  4. Step 4: Simplify right side
    7,031.61x = 38,874,542.84
  5. Step 5: Solve for x
    x = 38,874,542.84/7,031.61
  6. Step 6: Final answer
    x = 5,528.54

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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.