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Finding the Fourth Proportional to 9,208.66, 12,715.44 and 7,507.43

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Solution

The fourth proportional to 9,208.66, 12,715.44 and 7,507.43 is: 10,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.66 : 12,715.44 = 7,507.43 : x
  2. Step 2: Convert to fraction form
    9,208.66/12,715.44 = 7,507.43/x
  3. Step 3: Cross multiply
    9,208.66x = 12,715.44 × 7,507.43
  4. Step 4: Simplify right side
    9,208.66x = 95,460,275.72
  5. Step 5: Solve for x
    x = 95,460,275.72/9,208.66
  6. Step 6: Final answer
    x = 10,366.36

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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.