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Finding the Fourth Proportional to 6,307.26, 9,454.71 and 5,766.03

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Solution

The fourth proportional to 6,307.26, 9,454.71 and 5,766.03 is: 8,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.26 : 9,454.71 = 5,766.03 : x
  2. Step 2: Convert to fraction form
    6,307.26/9,454.71 = 5,766.03/x
  3. Step 3: Cross multiply
    6,307.26x = 9,454.71 × 5,766.03
  4. Step 4: Simplify right side
    6,307.26x = 54,516,141.50
  5. Step 5: Solve for x
    x = 54,516,141.50/6,307.26
  6. Step 6: Final answer
    x = 8,643.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.