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Finding the Fourth Proportional to 8,207.86, 11,326.86 and 4,671.10

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Solution

The fourth proportional to 8,207.86, 11,326.86 and 4,671.10 is: 6,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.86 : 11,326.86 = 4,671.10 : x
  2. Step 2: Convert to fraction form
    8,207.86/11,326.86 = 4,671.10/x
  3. Step 3: Cross multiply
    8,207.86x = 11,326.86 × 4,671.10
  4. Step 4: Simplify right side
    8,207.86x = 52,908,895.75
  5. Step 5: Solve for x
    x = 52,908,895.75/8,207.86
  6. Step 6: Final answer
    x = 6,446.13

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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.