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Finding the Fourth Proportional to 6,478.92, 9,730.09 and 5,957.96

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Solution

The fourth proportional to 6,478.92, 9,730.09 and 5,957.96 is: 8,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.92 : 9,730.09 = 5,957.96 : x
  2. Step 2: Convert to fraction form
    6,478.92/9,730.09 = 5,957.96/x
  3. Step 3: Cross multiply
    6,478.92x = 9,730.09 × 5,957.96
  4. Step 4: Simplify right side
    6,478.92x = 57,971,445.81
  5. Step 5: Solve for x
    x = 57,971,445.81/6,478.92
  6. Step 6: Final answer
    x = 8,947.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.