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Finding the Fourth Proportional to 9,888.66, 13,633.95 and 7,757.58

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Solution

The fourth proportional to 9,888.66, 13,633.95 and 7,757.58 is: 10,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.66 : 13,633.95 = 7,757.58 : x
  2. Step 2: Convert to fraction form
    9,888.66/13,633.95 = 7,757.58/x
  3. Step 3: Cross multiply
    9,888.66x = 13,633.95 × 7,757.58
  4. Step 4: Simplify right side
    9,888.66x = 105,766,457.84
  5. Step 5: Solve for x
    x = 105,766,457.84/9,888.66
  6. Step 6: Final answer
    x = 10,695.73

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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.