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Finding the Fourth Proportional to 8,498.76, 11,714.52 and 6,341.64

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Solution

The fourth proportional to 8,498.76, 11,714.52 and 6,341.64 is: 8,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.76 : 11,714.52 = 6,341.64 : x
  2. Step 2: Convert to fraction form
    8,498.76/11,714.52 = 6,341.64/x
  3. Step 3: Cross multiply
    8,498.76x = 11,714.52 × 6,341.64
  4. Step 4: Simplify right side
    8,498.76x = 74,289,268.61
  5. Step 5: Solve for x
    x = 74,289,268.61/8,498.76
  6. Step 6: Final answer
    x = 8,741.19

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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.