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Finding the Fourth Proportional to 9,197.77, 12,693.09 and 5,006.02

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Solution

The fourth proportional to 9,197.77, 12,693.09 and 5,006.02 is: 6,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.77 : 12,693.09 = 5,006.02 : x
  2. Step 2: Convert to fraction form
    9,197.77/12,693.09 = 5,006.02/x
  3. Step 3: Cross multiply
    9,197.77x = 12,693.09 × 5,006.02
  4. Step 4: Simplify right side
    9,197.77x = 63,541,862.40
  5. Step 5: Solve for x
    x = 63,541,862.40/9,197.77
  6. Step 6: Final answer
    x = 6,908.40

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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.