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Finding the Fourth Proportional to 9,711.07, 13,368.88 and 9,264.75

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Solution

The fourth proportional to 9,711.07, 13,368.88 and 9,264.75 is: 12,754.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.07 : 13,368.88 = 9,264.75 : x
  2. Step 2: Convert to fraction form
    9,711.07/13,368.88 = 9,264.75/x
  3. Step 3: Cross multiply
    9,711.07x = 13,368.88 × 9,264.75
  4. Step 4: Simplify right side
    9,711.07x = 123,859,292.43
  5. Step 5: Solve for x
    x = 123,859,292.43/9,711.07
  6. Step 6: Final answer
    x = 12,754.44

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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.