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Finding the Fourth Proportional to 6,444.26, 9,657.74 and 5,303.78

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Solution

The fourth proportional to 6,444.26, 9,657.74 and 5,303.78 is: 7,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.26 : 9,657.74 = 5,303.78 : x
  2. Step 2: Convert to fraction form
    6,444.26/9,657.74 = 5,303.78/x
  3. Step 3: Cross multiply
    6,444.26x = 9,657.74 × 5,303.78
  4. Step 4: Simplify right side
    6,444.26x = 51,222,493.23
  5. Step 5: Solve for x
    x = 51,222,493.23/6,444.26
  6. Step 6: Final answer
    x = 7,948.55

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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.