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Finding the Fourth Proportional to 11,437.58, 15,772.24 and 7,660.14

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Solution

The fourth proportional to 11,437.58, 15,772.24 and 7,660.14 is: 10,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.58 : 15,772.24 = 7,660.14 : x
  2. Step 2: Convert to fraction form
    11,437.58/15,772.24 = 7,660.14/x
  3. Step 3: Cross multiply
    11,437.58x = 15,772.24 × 7,660.14
  4. Step 4: Simplify right side
    11,437.58x = 120,817,566.51
  5. Step 5: Solve for x
    x = 120,817,566.51/11,437.58
  6. Step 6: Final answer
    x = 10,563.21

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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.