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Finding the Fourth Proportional to 10,274.64, 15,417.36 and 5,598

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Solution

The fourth proportional to 10,274.64, 15,417.36 and 5,598 is: 8,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.64 : 15,417.36 = 5,598 : x
  2. Step 2: Convert to fraction form
    10,274.64/15,417.36 = 5,598/x
  3. Step 3: Cross multiply
    10,274.64x = 15,417.36 × 5,598
  4. Step 4: Simplify right side
    10,274.64x = 86,306,381.28
  5. Step 5: Solve for x
    x = 86,306,381.28/10,274.64
  6. Step 6: Final answer
    x = 8,399.94

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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.