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Finding the Fourth Proportional to 9,264.97, 12,777.10 and 8,594.29

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Solution

The fourth proportional to 9,264.97, 12,777.10 and 8,594.29 is: 11,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.97 : 12,777.10 = 8,594.29 : x
  2. Step 2: Convert to fraction form
    9,264.97/12,777.10 = 8,594.29/x
  3. Step 3: Cross multiply
    9,264.97x = 12,777.10 × 8,594.29
  4. Step 4: Simplify right side
    9,264.97x = 109,810,102.76
  5. Step 5: Solve for x
    x = 109,810,102.76/9,264.97
  6. Step 6: Final answer
    x = 11,852.18

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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.