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Finding the Fourth Proportional to 10,543.77, 14,549.32 and 6,066.65

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Solution

The fourth proportional to 10,543.77, 14,549.32 and 6,066.65 is: 8,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.77 : 14,549.32 = 6,066.65 : x
  2. Step 2: Convert to fraction form
    10,543.77/14,549.32 = 6,066.65/x
  3. Step 3: Cross multiply
    10,543.77x = 14,549.32 × 6,066.65
  4. Step 4: Simplify right side
    10,543.77x = 88,265,594.29
  5. Step 5: Solve for x
    x = 88,265,594.29/10,543.77
  6. Step 6: Final answer
    x = 8,371.35

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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.