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Finding the Fourth Proportional to 7,116.88, 9,821.46 and 4,464.40

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Solution

The fourth proportional to 7,116.88, 9,821.46 and 4,464.40 is: 6,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.88 : 9,821.46 = 4,464.40 : x
  2. Step 2: Convert to fraction form
    7,116.88/9,821.46 = 4,464.40/x
  3. Step 3: Cross multiply
    7,116.88x = 9,821.46 × 4,464.40
  4. Step 4: Simplify right side
    7,116.88x = 43,846,926.02
  5. Step 5: Solve for x
    x = 43,846,926.02/7,116.88
  6. Step 6: Final answer
    x = 6,160.98

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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.