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Finding the Fourth Proportional to 9,294.72, 13,942.40 and 4,364.32

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Solution

The fourth proportional to 9,294.72, 13,942.40 and 4,364.32 is: 6,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.72 : 13,942.40 = 4,364.32 : x
  2. Step 2: Convert to fraction form
    9,294.72/13,942.40 = 4,364.32/x
  3. Step 3: Cross multiply
    9,294.72x = 13,942.40 × 4,364.32
  4. Step 4: Simplify right side
    9,294.72x = 60,849,095.17
  5. Step 5: Solve for x
    x = 60,849,095.17/9,294.72
  6. Step 6: Final answer
    x = 6,546.63

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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.