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Finding the Fourth Proportional to 10,897.92, 16,353.12 and 4,657.20

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Solution

The fourth proportional to 10,897.92, 16,353.12 and 4,657.20 is: 6,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.92 : 16,353.12 = 4,657.20 : x
  2. Step 2: Convert to fraction form
    10,897.92/16,353.12 = 4,657.20/x
  3. Step 3: Cross multiply
    10,897.92x = 16,353.12 × 4,657.20
  4. Step 4: Simplify right side
    10,897.92x = 76,159,750.46
  5. Step 5: Solve for x
    x = 76,159,750.46/10,897.92
  6. Step 6: Final answer
    x = 6,988.47

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1.5x scale

Why These Related Problems?

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