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Finding the Fourth Proportional to 6,298.76, 8,691.73 and 3,646.35

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Solution

The fourth proportional to 6,298.76, 8,691.73 and 3,646.35 is: 5,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.76 : 8,691.73 = 3,646.35 : x
  2. Step 2: Convert to fraction form
    6,298.76/8,691.73 = 3,646.35/x
  3. Step 3: Cross multiply
    6,298.76x = 8,691.73 × 3,646.35
  4. Step 4: Simplify right side
    6,298.76x = 31,693,080.57
  5. Step 5: Solve for x
    x = 31,693,080.57/6,298.76
  6. Step 6: Final answer
    x = 5,031.64

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Half 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.