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Finding the Fourth Proportional to 4,666.92, 6,440.31 and 2,571

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Solution

The fourth proportional to 4,666.92, 6,440.31 and 2,571 is: 3,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.92 : 6,440.31 = 2,571 : x
  2. Step 2: Convert to fraction form
    4,666.92/6,440.31 = 2,571/x
  3. Step 3: Cross multiply
    4,666.92x = 6,440.31 × 2,571
  4. Step 4: Simplify right side
    4,666.92x = 16,558,037.01
  5. Step 5: Solve for x
    x = 16,558,037.01/4,666.92
  6. Step 6: Final answer
    x = 3,547.96

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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.