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Finding the Fourth Proportional to 9,808.84, 13,527.03 and 7,567.18

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Solution

The fourth proportional to 9,808.84, 13,527.03 and 7,567.18 is: 10,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.84 : 13,527.03 = 7,567.18 : x
  2. Step 2: Convert to fraction form
    9,808.84/13,527.03 = 7,567.18/x
  3. Step 3: Cross multiply
    9,808.84x = 13,527.03 × 7,567.18
  4. Step 4: Simplify right side
    9,808.84x = 102,361,470.88
  5. Step 5: Solve for x
    x = 102,361,470.88/9,808.84
  6. Step 6: Final answer
    x = 10,435.63

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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.