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Finding the Fourth Proportional to 7,648.80, 11,480.40 and 6,554.40

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Solution

The fourth proportional to 7,648.80, 11,480.40 and 6,554.40 is: 9,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.80 : 11,480.40 = 6,554.40 : x
  2. Step 2: Convert to fraction form
    7,648.80/11,480.40 = 6,554.40/x
  3. Step 3: Cross multiply
    7,648.80x = 11,480.40 × 6,554.40
  4. Step 4: Simplify right side
    7,648.80x = 75,247,133.76
  5. Step 5: Solve for x
    x = 75,247,133.76/7,648.80
  6. Step 6: Final answer
    x = 9,837.77

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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.