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Finding the Fourth Proportional to 15,886.39, 23,814.09 and 7,564.17

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Solution

The fourth proportional to 15,886.39, 23,814.09 and 7,564.17 is: 11,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.39 : 23,814.09 = 7,564.17 : x
  2. Step 2: Convert to fraction form
    15,886.39/23,814.09 = 7,564.17/x
  3. Step 3: Cross multiply
    15,886.39x = 23,814.09 × 7,564.17
  4. Step 4: Simplify right side
    15,886.39x = 180,133,825.16
  5. Step 5: Solve for x
    x = 180,133,825.16/15,886.39
  6. Step 6: Final answer
    x = 11,338.88

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1.5x scale

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.