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Finding the Fourth Proportional to 6,447.44, 8,830.80 and 6,069.17

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Solution

The fourth proportional to 6,447.44, 8,830.80 and 6,069.17 is: 8,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.44 : 8,830.80 = 6,069.17 : x
  2. Step 2: Convert to fraction form
    6,447.44/8,830.80 = 6,069.17/x
  3. Step 3: Cross multiply
    6,447.44x = 8,830.80 × 6,069.17
  4. Step 4: Simplify right side
    6,447.44x = 53,595,648.51
  5. Step 5: Solve for x
    x = 53,595,648.51/6,447.44
  6. Step 6: Final answer
    x = 8,312.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.