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Finding the Fourth Proportional to 6,581.86, 9,088.50 and 4,699.22

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Solution

The fourth proportional to 6,581.86, 9,088.50 and 4,699.22 is: 6,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.86 : 9,088.50 = 4,699.22 : x
  2. Step 2: Convert to fraction form
    6,581.86/9,088.50 = 4,699.22/x
  3. Step 3: Cross multiply
    6,581.86x = 9,088.50 × 4,699.22
  4. Step 4: Simplify right side
    6,581.86x = 42,708,833.15
  5. Step 5: Solve for x
    x = 42,708,833.15/6,581.86
  6. Step 6: Final answer
    x = 6,488.87

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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.