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Finding the Fourth Proportional to 10,592.70, 15,901.20 and 6,437.40

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Solution

The fourth proportional to 10,592.70, 15,901.20 and 6,437.40 is: 9,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.70 : 15,901.20 = 6,437.40 : x
  2. Step 2: Convert to fraction form
    10,592.70/15,901.20 = 6,437.40/x
  3. Step 3: Cross multiply
    10,592.70x = 15,901.20 × 6,437.40
  4. Step 4: Simplify right side
    10,592.70x = 102,362,384.88
  5. Step 5: Solve for x
    x = 102,362,384.88/10,592.70
  6. Step 6: Final answer
    x = 9,663.48

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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.