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Finding the Fourth Proportional to 9,980.46, 14,932.62 and 6,017.13

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Solution

The fourth proportional to 9,980.46, 14,932.62 and 6,017.13 is: 9,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.46 : 14,932.62 = 6,017.13 : x
  2. Step 2: Convert to fraction form
    9,980.46/14,932.62 = 6,017.13/x
  3. Step 3: Cross multiply
    9,980.46x = 14,932.62 × 6,017.13
  4. Step 4: Simplify right side
    9,980.46x = 89,851,515.78
  5. Step 5: Solve for x
    x = 89,851,515.78/9,980.46
  6. Step 6: Final answer
    x = 9,002.74

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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.