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Finding the Fourth Proportional to 9,894.32, 14,825.04 and 6,966.48

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Solution

The fourth proportional to 9,894.32, 14,825.04 and 6,966.48 is: 10,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.32 : 14,825.04 = 6,966.48 : x
  2. Step 2: Convert to fraction form
    9,894.32/14,825.04 = 6,966.48/x
  3. Step 3: Cross multiply
    9,894.32x = 14,825.04 × 6,966.48
  4. Step 4: Simplify right side
    9,894.32x = 103,278,344.66
  5. Step 5: Solve for x
    x = 103,278,344.66/9,894.32
  6. Step 6: Final answer
    x = 10,438.14

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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.