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Finding the Fourth Proportional to 10,658.97, 15,986.06 and 5,981.07

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Solution

The fourth proportional to 10,658.97, 15,986.06 and 5,981.07 is: 8,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.97 : 15,986.06 = 5,981.07 : x
  2. Step 2: Convert to fraction form
    10,658.97/15,986.06 = 5,981.07/x
  3. Step 3: Cross multiply
    10,658.97x = 15,986.06 × 5,981.07
  4. Step 4: Simplify right side
    10,658.97x = 95,613,661.47
  5. Step 5: Solve for x
    x = 95,613,661.47/10,658.97
  6. Step 6: Final answer
    x = 8,970.26

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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.