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Finding the Fourth Proportional to 4,677.80, 6,976.04 and 4,615.02

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Solution

The fourth proportional to 4,677.80, 6,976.04 and 4,615.02 is: 6,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.80 : 6,976.04 = 4,615.02 : x
  2. Step 2: Convert to fraction form
    4,677.80/6,976.04 = 4,615.02/x
  3. Step 3: Cross multiply
    4,677.80x = 6,976.04 × 4,615.02
  4. Step 4: Simplify right side
    4,677.80x = 32,194,541.05
  5. Step 5: Solve for x
    x = 32,194,541.05/4,677.80
  6. Step 6: Final answer
    x = 6,882.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.