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Finding the Fourth Proportional to 9,124.67, 13,686.10 and 4,192.99

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Solution

The fourth proportional to 9,124.67, 13,686.10 and 4,192.99 is: 6,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.67 : 13,686.10 = 4,192.99 : x
  2. Step 2: Convert to fraction form
    9,124.67/13,686.10 = 4,192.99/x
  3. Step 3: Cross multiply
    9,124.67x = 13,686.10 × 4,192.99
  4. Step 4: Simplify right side
    9,124.67x = 57,385,635.74
  5. Step 5: Solve for x
    x = 57,385,635.74/9,124.67
  6. Step 6: Final answer
    x = 6,289.06

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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.