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Finding the Fourth Proportional to 9,617.11, 14,387.71 and 7,283.84

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Solution

The fourth proportional to 9,617.11, 14,387.71 and 7,283.84 is: 10,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.11 : 14,387.71 = 7,283.84 : x
  2. Step 2: Convert to fraction form
    9,617.11/14,387.71 = 7,283.84/x
  3. Step 3: Cross multiply
    9,617.11x = 14,387.71 × 7,283.84
  4. Step 4: Simplify right side
    9,617.11x = 104,797,723.43
  5. Step 5: Solve for x
    x = 104,797,723.43/9,617.11
  6. Step 6: Final answer
    x = 10,897.01

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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.