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Finding the Fourth Proportional to 7,780.80, 11,653.04 and 5,443.20

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Solution

The fourth proportional to 7,780.80, 11,653.04 and 5,443.20 is: 8,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.80 : 11,653.04 = 5,443.20 : x
  2. Step 2: Convert to fraction form
    7,780.80/11,653.04 = 5,443.20/x
  3. Step 3: Cross multiply
    7,780.80x = 11,653.04 × 5,443.20
  4. Step 4: Simplify right side
    7,780.80x = 63,429,827.33
  5. Step 5: Solve for x
    x = 63,429,827.33/7,780.80
  6. Step 6: Final answer
    x = 8,152.10

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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.