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Finding the Fourth Proportional to 8,298.40, 12,454.40 and 8,233.60

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Solution

The fourth proportional to 8,298.40, 12,454.40 and 8,233.60 is: 12,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.40 : 12,454.40 = 8,233.60 : x
  2. Step 2: Convert to fraction form
    8,298.40/12,454.40 = 8,233.60/x
  3. Step 3: Cross multiply
    8,298.40x = 12,454.40 × 8,233.60
  4. Step 4: Simplify right side
    8,298.40x = 102,544,547.84
  5. Step 5: Solve for x
    x = 102,544,547.84/8,298.40
  6. Step 6: Final answer
    x = 12,357.15

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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.