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Finding the Fourth Proportional to 7,118.66, 9,823.06 and 4,882.45

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Solution

The fourth proportional to 7,118.66, 9,823.06 and 4,882.45 is: 6,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.66 : 9,823.06 = 4,882.45 : x
  2. Step 2: Convert to fraction form
    7,118.66/9,823.06 = 4,882.45/x
  3. Step 3: Cross multiply
    7,118.66x = 9,823.06 × 4,882.45
  4. Step 4: Simplify right side
    7,118.66x = 47,960,599.30
  5. Step 5: Solve for x
    x = 47,960,599.30/7,118.66
  6. Step 6: Final answer
    x = 6,737.31

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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.