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Finding the Fourth Proportional to 11,557.44, 15,948 and 6,589.44

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Solution

The fourth proportional to 11,557.44, 15,948 and 6,589.44 is: 9,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.44 : 15,948 = 6,589.44 : x
  2. Step 2: Convert to fraction form
    11,557.44/15,948 = 6,589.44/x
  3. Step 3: Cross multiply
    11,557.44x = 15,948 × 6,589.44
  4. Step 4: Simplify right side
    11,557.44x = 105,088,389.12
  5. Step 5: Solve for x
    x = 105,088,389.12/11,557.44
  6. Step 6: Final answer
    x = 9,092.70

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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.