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Finding the Fourth Proportional to 9,702.72, 14,541.66 and 8,448.17

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Solution

The fourth proportional to 9,702.72, 14,541.66 and 8,448.17 is: 12,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.72 : 14,541.66 = 8,448.17 : x
  2. Step 2: Convert to fraction form
    9,702.72/14,541.66 = 8,448.17/x
  3. Step 3: Cross multiply
    9,702.72x = 14,541.66 × 8,448.17
  4. Step 4: Simplify right side
    9,702.72x = 122,850,343.05
  5. Step 5: Solve for x
    x = 122,850,343.05/9,702.72
  6. Step 6: Final answer
    x = 12,661.43

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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.