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Finding the Fourth Proportional to 6,407.22, 8,828.25 and 4,307.70

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Solution

The fourth proportional to 6,407.22, 8,828.25 and 4,307.70 is: 5,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.22 : 8,828.25 = 4,307.70 : x
  2. Step 2: Convert to fraction form
    6,407.22/8,828.25 = 4,307.70/x
  3. Step 3: Cross multiply
    6,407.22x = 8,828.25 × 4,307.70
  4. Step 4: Simplify right side
    6,407.22x = 38,029,452.53
  5. Step 5: Solve for x
    x = 38,029,452.53/6,407.22
  6. Step 6: Final answer
    x = 5,935.41

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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.