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Finding the Fourth Proportional to 7,724.76, 11,587.02 and 1,881.16

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Solution

The fourth proportional to 7,724.76, 11,587.02 and 1,881.16 is: 2,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.76 : 11,587.02 = 1,881.16 : x
  2. Step 2: Convert to fraction form
    7,724.76/11,587.02 = 1,881.16/x
  3. Step 3: Cross multiply
    7,724.76x = 11,587.02 × 1,881.16
  4. Step 4: Simplify right side
    7,724.76x = 21,797,038.54
  5. Step 5: Solve for x
    x = 21,797,038.54/7,724.76
  6. Step 6: Final answer
    x = 2,821.71

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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.