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Finding the Fourth Proportional to 9,895.76, 14,846.17 and 7,294.24

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Solution

The fourth proportional to 9,895.76, 14,846.17 and 7,294.24 is: 10,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.76 : 14,846.17 = 7,294.24 : x
  2. Step 2: Convert to fraction form
    9,895.76/14,846.17 = 7,294.24/x
  3. Step 3: Cross multiply
    9,895.76x = 14,846.17 × 7,294.24
  4. Step 4: Simplify right side
    9,895.76x = 108,291,527.06
  5. Step 5: Solve for x
    x = 108,291,527.06/9,895.76
  6. Step 6: Final answer
    x = 10,943.22

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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.