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Finding the Fourth Proportional to 10,366.65, 15,549.98 and 9,218.48

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Solution

The fourth proportional to 10,366.65, 15,549.98 and 9,218.48 is: 13,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.65 : 15,549.98 = 9,218.48 : x
  2. Step 2: Convert to fraction form
    10,366.65/15,549.98 = 9,218.48/x
  3. Step 3: Cross multiply
    10,366.65x = 15,549.98 × 9,218.48
  4. Step 4: Simplify right side
    10,366.65x = 143,347,055.79
  5. Step 5: Solve for x
    x = 143,347,055.79/10,366.65
  6. Step 6: Final answer
    x = 13,827.71

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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.