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Finding the Fourth Proportional to 7,885.95, 10,882.80 and 4,530.53

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Solution

The fourth proportional to 7,885.95, 10,882.80 and 4,530.53 is: 6,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.95 : 10,882.80 = 4,530.53 : x
  2. Step 2: Convert to fraction form
    7,885.95/10,882.80 = 4,530.53/x
  3. Step 3: Cross multiply
    7,885.95x = 10,882.80 × 4,530.53
  4. Step 4: Simplify right side
    7,885.95x = 49,304,797.47
  5. Step 5: Solve for x
    x = 49,304,797.47/7,885.95
  6. Step 6: Final answer
    x = 6,252.23

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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.