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Finding the Fourth Proportional to 10,952.91, 15,115.01 and 5,984.91

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Solution

The fourth proportional to 10,952.91, 15,115.01 and 5,984.91 is: 8,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.91 : 15,115.01 = 5,984.91 : x
  2. Step 2: Convert to fraction form
    10,952.91/15,115.01 = 5,984.91/x
  3. Step 3: Cross multiply
    10,952.91x = 15,115.01 × 5,984.91
  4. Step 4: Simplify right side
    10,952.91x = 90,461,944.57
  5. Step 5: Solve for x
    x = 90,461,944.57/10,952.91
  6. Step 6: Final answer
    x = 8,259.17

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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.