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Finding the Fourth Proportional to 9,257.25, 12,775.01 and 5,065.50

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Solution

The fourth proportional to 9,257.25, 12,775.01 and 5,065.50 is: 6,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.25 : 12,775.01 = 5,065.50 : x
  2. Step 2: Convert to fraction form
    9,257.25/12,775.01 = 5,065.50/x
  3. Step 3: Cross multiply
    9,257.25x = 12,775.01 × 5,065.50
  4. Step 4: Simplify right side
    9,257.25x = 64,711,787.83
  5. Step 5: Solve for x
    x = 64,711,787.83/9,257.25
  6. Step 6: Final answer
    x = 6,990.39

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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.