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Finding the Fourth Proportional to 11,437.53, 15,774.87 and 7,659.48

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Solution

The fourth proportional to 11,437.53, 15,774.87 and 7,659.48 is: 10,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.53 : 15,774.87 = 7,659.48 : x
  2. Step 2: Convert to fraction form
    11,437.53/15,774.87 = 7,659.48/x
  3. Step 3: Cross multiply
    11,437.53x = 15,774.87 × 7,659.48
  4. Step 4: Simplify right side
    11,437.53x = 120,827,301.27
  5. Step 5: Solve for x
    x = 120,827,301.27/11,437.53
  6. Step 6: Final answer
    x = 10,564.11

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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.