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Finding the Fourth Proportional to 7,031.90, 10,564.20 and 6,654

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Solution

The fourth proportional to 7,031.90, 10,564.20 and 6,654 is: 9,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.90 : 10,564.20 = 6,654 : x
  2. Step 2: Convert to fraction form
    7,031.90/10,564.20 = 6,654/x
  3. Step 3: Cross multiply
    7,031.90x = 10,564.20 × 6,654
  4. Step 4: Simplify right side
    7,031.90x = 70,294,186.80
  5. Step 5: Solve for x
    x = 70,294,186.80/7,031.90
  6. Step 6: Final answer
    x = 9,996.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.