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Finding the Fourth Proportional to 9,616.86, 14,387.33 and 7,283.59

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Solution

The fourth proportional to 9,616.86, 14,387.33 and 7,283.59 is: 10,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.86 : 14,387.33 = 7,283.59 : x
  2. Step 2: Convert to fraction form
    9,616.86/14,387.33 = 7,283.59/x
  3. Step 3: Cross multiply
    9,616.86x = 14,387.33 × 7,283.59
  4. Step 4: Simplify right side
    9,616.86x = 104,791,395.16
  5. Step 5: Solve for x
    x = 104,791,395.16/9,616.86
  6. Step 6: Final answer
    x = 10,896.63

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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.