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Finding the Fourth Proportional to 9,759.49, 13,435.47 and 8,562.11

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Solution

The fourth proportional to 9,759.49, 13,435.47 and 8,562.11 is: 11,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.49 : 13,435.47 = 8,562.11 : x
  2. Step 2: Convert to fraction form
    9,759.49/13,435.47 = 8,562.11/x
  3. Step 3: Cross multiply
    9,759.49x = 13,435.47 × 8,562.11
  4. Step 4: Simplify right side
    9,759.49x = 115,035,904.86
  5. Step 5: Solve for x
    x = 115,035,904.86/9,759.49
  6. Step 6: Final answer
    x = 11,787.08

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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.