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Finding the Fourth Proportional to 9,856.32, 14,841.92 and 7,277.28

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Solution

The fourth proportional to 9,856.32, 14,841.92 and 7,277.28 is: 10,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.32 : 14,841.92 = 7,277.28 : x
  2. Step 2: Convert to fraction form
    9,856.32/14,841.92 = 7,277.28/x
  3. Step 3: Cross multiply
    9,856.32x = 14,841.92 × 7,277.28
  4. Step 4: Simplify right side
    9,856.32x = 108,008,807.58
  5. Step 5: Solve for x
    x = 108,008,807.58/9,856.32
  6. Step 6: Final answer
    x = 10,958.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.