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Finding the Fourth Proportional to 9,265.47, 12,777.80 and 8,594.79

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Solution

The fourth proportional to 9,265.47, 12,777.80 and 8,594.79 is: 11,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.47 : 12,777.80 = 8,594.79 : x
  2. Step 2: Convert to fraction form
    9,265.47/12,777.80 = 8,594.79/x
  3. Step 3: Cross multiply
    9,265.47x = 12,777.80 × 8,594.79
  4. Step 4: Simplify right side
    9,265.47x = 109,822,464.69
  5. Step 5: Solve for x
    x = 109,822,464.69/9,265.47
  6. Step 6: Final answer
    x = 11,852.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.