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Finding the Fourth Proportional to 5,472.27, 8,210.07 and 1,775.07

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Solution

The fourth proportional to 5,472.27, 8,210.07 and 1,775.07 is: 2,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.27 : 8,210.07 = 1,775.07 : x
  2. Step 2: Convert to fraction form
    5,472.27/8,210.07 = 1,775.07/x
  3. Step 3: Cross multiply
    5,472.27x = 8,210.07 × 1,775.07
  4. Step 4: Simplify right side
    5,472.27x = 14,573,448.95
  5. Step 5: Solve for x
    x = 14,573,448.95/5,472.27
  6. Step 6: Final answer
    x = 2,663.15

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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.