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Finding the Fourth Proportional to 7,776.40, 11,664.60 and 7,452.40

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Solution

The fourth proportional to 7,776.40, 11,664.60 and 7,452.40 is: 11,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.40 : 11,664.60 = 7,452.40 : x
  2. Step 2: Convert to fraction form
    7,776.40/11,664.60 = 7,452.40/x
  3. Step 3: Cross multiply
    7,776.40x = 11,664.60 × 7,452.40
  4. Step 4: Simplify right side
    7,776.40x = 86,929,265.04
  5. Step 5: Solve for x
    x = 86,929,265.04/7,776.40
  6. Step 6: Final answer
    x = 11,178.60

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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.