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Finding the Fourth Proportional to 11,592.53, 15,997.95 and 6,815.96

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Solution

The fourth proportional to 11,592.53, 15,997.95 and 6,815.96 is: 9,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.53 : 15,997.95 = 6,815.96 : x
  2. Step 2: Convert to fraction form
    11,592.53/15,997.95 = 6,815.96/x
  3. Step 3: Cross multiply
    11,592.53x = 15,997.95 × 6,815.96
  4. Step 4: Simplify right side
    11,592.53x = 109,041,307.29
  5. Step 5: Solve for x
    x = 109,041,307.29/11,592.53
  6. Step 6: Final answer
    x = 9,406.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.