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Finding the Fourth Proportional to 5,565.08, 8,347.07 and 1,461.08

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Solution

The fourth proportional to 5,565.08, 8,347.07 and 1,461.08 is: 2,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.08 : 8,347.07 = 1,461.08 : x
  2. Step 2: Convert to fraction form
    5,565.08/8,347.07 = 1,461.08/x
  3. Step 3: Cross multiply
    5,565.08x = 8,347.07 × 1,461.08
  4. Step 4: Simplify right side
    5,565.08x = 12,195,687.99
  5. Step 5: Solve for x
    x = 12,195,687.99/5,565.08
  6. Step 6: Final answer
    x = 2,191.47

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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.