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Finding the Fourth Proportional to 9,012, 12,442.05 and 6,184.02

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Solution

The fourth proportional to 9,012, 12,442.05 and 6,184.02 is: 8,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012 : 12,442.05 = 6,184.02 : x
  2. Step 2: Convert to fraction form
    9,012/12,442.05 = 6,184.02/x
  3. Step 3: Cross multiply
    9,012x = 12,442.05 × 6,184.02
  4. Step 4: Simplify right side
    9,012x = 76,941,886.04
  5. Step 5: Solve for x
    x = 76,941,886.04/9,012
  6. Step 6: Final answer
    x = 8,537.71

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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.