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Finding the Fourth Proportional to 4,066.76, 5,612.14 and 2,203.76

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Solution

The fourth proportional to 4,066.76, 5,612.14 and 2,203.76 is: 3,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.76 : 5,612.14 = 2,203.76 : x
  2. Step 2: Convert to fraction form
    4,066.76/5,612.14 = 2,203.76/x
  3. Step 3: Cross multiply
    4,066.76x = 5,612.14 × 2,203.76
  4. Step 4: Simplify right side
    4,066.76x = 12,367,809.65
  5. Step 5: Solve for x
    x = 12,367,809.65/4,066.76
  6. Step 6: Final answer
    x = 3,041.19

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Half scale
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Double scale
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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.