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Finding the Fourth Proportional to 9,713.08, 13,371.64 and 9,266.74

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Solution

The fourth proportional to 9,713.08, 13,371.64 and 9,266.74 is: 12,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.08 : 13,371.64 = 9,266.74 : x
  2. Step 2: Convert to fraction form
    9,713.08/13,371.64 = 9,266.74/x
  3. Step 3: Cross multiply
    9,713.08x = 13,371.64 × 9,266.74
  4. Step 4: Simplify right side
    9,713.08x = 123,911,511.25
  5. Step 5: Solve for x
    x = 123,911,511.25/9,713.08
  6. Step 6: Final answer
    x = 12,757.18

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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.