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Finding the Fourth Proportional to 8,549.10, 12,830.16 and 5,769.18

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Solution

The fourth proportional to 8,549.10, 12,830.16 and 5,769.18 is: 8,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.10 : 12,830.16 = 5,769.18 : x
  2. Step 2: Convert to fraction form
    8,549.10/12,830.16 = 5,769.18/x
  3. Step 3: Cross multiply
    8,549.10x = 12,830.16 × 5,769.18
  4. Step 4: Simplify right side
    8,549.10x = 74,019,502.47
  5. Step 5: Solve for x
    x = 74,019,502.47/8,549.10
  6. Step 6: Final answer
    x = 8,658.16

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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.