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Finding the Fourth Proportional to 9,712.16, 14,540.40 and 7,258.40

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Solution

The fourth proportional to 9,712.16, 14,540.40 and 7,258.40 is: 10,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.16 : 14,540.40 = 7,258.40 : x
  2. Step 2: Convert to fraction form
    9,712.16/14,540.40 = 7,258.40/x
  3. Step 3: Cross multiply
    9,712.16x = 14,540.40 × 7,258.40
  4. Step 4: Simplify right side
    9,712.16x = 105,540,039.36
  5. Step 5: Solve for x
    x = 105,540,039.36/9,712.16
  6. Step 6: Final answer
    x = 10,866.79

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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.