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Finding the Fourth Proportional to 4,711.65, 6,502.10 and 2,944.27

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Solution

The fourth proportional to 4,711.65, 6,502.10 and 2,944.27 is: 4,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.65 : 6,502.10 = 2,944.27 : x
  2. Step 2: Convert to fraction form
    4,711.65/6,502.10 = 2,944.27/x
  3. Step 3: Cross multiply
    4,711.65x = 6,502.10 × 2,944.27
  4. Step 4: Simplify right side
    4,711.65x = 19,143,931.37
  5. Step 5: Solve for x
    x = 19,143,931.37/4,711.65
  6. Step 6: Final answer
    x = 4,063.11

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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.