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Finding the Fourth Proportional to 9,231.84, 13,847.76 and 7,156.08

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Solution

The fourth proportional to 9,231.84, 13,847.76 and 7,156.08 is: 10,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.84 : 13,847.76 = 7,156.08 : x
  2. Step 2: Convert to fraction form
    9,231.84/13,847.76 = 7,156.08/x
  3. Step 3: Cross multiply
    9,231.84x = 13,847.76 × 7,156.08
  4. Step 4: Simplify right side
    9,231.84x = 99,095,678.38
  5. Step 5: Solve for x
    x = 99,095,678.38/9,231.84
  6. Step 6: Final answer
    x = 10,734.12

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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.