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Finding the Fourth Proportional to 8,586.95, 11,814.17 and 7,574.22

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Solution

The fourth proportional to 8,586.95, 11,814.17 and 7,574.22 is: 10,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.95 : 11,814.17 = 7,574.22 : x
  2. Step 2: Convert to fraction form
    8,586.95/11,814.17 = 7,574.22/x
  3. Step 3: Cross multiply
    8,586.95x = 11,814.17 × 7,574.22
  4. Step 4: Simplify right side
    8,586.95x = 89,483,084.83
  5. Step 5: Solve for x
    x = 89,483,084.83/8,586.95
  6. Step 6: Final answer
    x = 10,420.83

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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.