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Finding the Fourth Proportional to 7,953.76, 10,966.84 and 6,456.96

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Solution

The fourth proportional to 7,953.76, 10,966.84 and 6,456.96 is: 8,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.76 : 10,966.84 = 6,456.96 : x
  2. Step 2: Convert to fraction form
    7,953.76/10,966.84 = 6,456.96/x
  3. Step 3: Cross multiply
    7,953.76x = 10,966.84 × 6,456.96
  4. Step 4: Simplify right side
    7,953.76x = 70,812,447.21
  5. Step 5: Solve for x
    x = 70,812,447.21/7,953.76
  6. Step 6: Final answer
    x = 8,903.02

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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.