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Finding the Fourth Proportional to 10,253.64, 15,366.90 and 9,996

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Solution

The fourth proportional to 10,253.64, 15,366.90 and 9,996 is: 14,980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.64 : 15,366.90 = 9,996 : x
  2. Step 2: Convert to fraction form
    10,253.64/15,366.90 = 9,996/x
  3. Step 3: Cross multiply
    10,253.64x = 15,366.90 × 9,996
  4. Step 4: Simplify right side
    10,253.64x = 153,607,532.40
  5. Step 5: Solve for x
    x = 153,607,532.40/10,253.64
  6. Step 6: Final answer
    x = 14,980.78

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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.