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Finding the Fourth Proportional to 7,717.65, 10,654.05 and 4,886.40

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Solution

The fourth proportional to 7,717.65, 10,654.05 and 4,886.40 is: 6,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.65 : 10,654.05 = 4,886.40 : x
  2. Step 2: Convert to fraction form
    7,717.65/10,654.05 = 4,886.40/x
  3. Step 3: Cross multiply
    7,717.65x = 10,654.05 × 4,886.40
  4. Step 4: Simplify right side
    7,717.65x = 52,059,949.92
  5. Step 5: Solve for x
    x = 52,059,949.92/7,717.65
  6. Step 6: Final answer
    x = 6,745.57

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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.