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Finding the Fourth Proportional to 7,691.63, 10,612.01 and 4,705.97

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Solution

The fourth proportional to 7,691.63, 10,612.01 and 4,705.97 is: 6,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.63 : 10,612.01 = 4,705.97 : x
  2. Step 2: Convert to fraction form
    7,691.63/10,612.01 = 4,705.97/x
  3. Step 3: Cross multiply
    7,691.63x = 10,612.01 × 4,705.97
  4. Step 4: Simplify right side
    7,691.63x = 49,939,759.40
  5. Step 5: Solve for x
    x = 49,939,759.40/7,691.63
  6. Step 6: Final answer
    x = 6,492.74

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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.