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Finding the Fourth Proportional to 7,175.71, 9,898.11 and 5,047.49

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Solution

The fourth proportional to 7,175.71, 9,898.11 and 5,047.49 is: 6,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.71 : 9,898.11 = 5,047.49 : x
  2. Step 2: Convert to fraction form
    7,175.71/9,898.11 = 5,047.49/x
  3. Step 3: Cross multiply
    7,175.71x = 9,898.11 × 5,047.49
  4. Step 4: Simplify right side
    7,175.71x = 49,960,615.25
  5. Step 5: Solve for x
    x = 49,960,615.25/7,175.71
  6. Step 6: Final answer
    x = 6,962.46

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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.