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Finding the Fourth Proportional to 9,549.66, 13,151.85 and 7,696.17

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Solution

The fourth proportional to 9,549.66, 13,151.85 and 7,696.17 is: 10,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.66 : 13,151.85 = 7,696.17 : x
  2. Step 2: Convert to fraction form
    9,549.66/13,151.85 = 7,696.17/x
  3. Step 3: Cross multiply
    9,549.66x = 13,151.85 × 7,696.17
  4. Step 4: Simplify right side
    9,549.66x = 101,218,873.41
  5. Step 5: Solve for x
    x = 101,218,873.41/9,549.66
  6. Step 6: Final answer
    x = 10,599.21

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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.