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Finding the Fourth Proportional to 9,184.64, 12,674.72 and 4,992.89

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Solution

The fourth proportional to 9,184.64, 12,674.72 and 4,992.89 is: 6,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.64 : 12,674.72 = 4,992.89 : x
  2. Step 2: Convert to fraction form
    9,184.64/12,674.72 = 4,992.89/x
  3. Step 3: Cross multiply
    9,184.64x = 12,674.72 × 4,992.89
  4. Step 4: Simplify right side
    9,184.64x = 63,283,394.40
  5. Step 5: Solve for x
    x = 63,283,394.40/9,184.64
  6. Step 6: Final answer
    x = 6,890.14

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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.