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Finding the Fourth Proportional to 6,278.40, 8,809.20 and 6,278.40

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Solution

The fourth proportional to 6,278.40, 8,809.20 and 6,278.40 is: 8,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.40 : 8,809.20 = 6,278.40 : x
  2. Step 2: Convert to fraction form
    6,278.40/8,809.20 = 6,278.40/x
  3. Step 3: Cross multiply
    6,278.40x = 8,809.20 × 6,278.40
  4. Step 4: Simplify right side
    6,278.40x = 55,307,681.28
  5. Step 5: Solve for x
    x = 55,307,681.28/6,278.40
  6. Step 6: Final answer
    x = 8,809.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.