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Finding the Fourth Proportional to 7,751.80, 10,701.57 and 6,222.72

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Solution

The fourth proportional to 7,751.80, 10,701.57 and 6,222.72 is: 8,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.80 : 10,701.57 = 6,222.72 : x
  2. Step 2: Convert to fraction form
    7,751.80/10,701.57 = 6,222.72/x
  3. Step 3: Cross multiply
    7,751.80x = 10,701.57 × 6,222.72
  4. Step 4: Simplify right side
    7,751.80x = 66,592,902.13
  5. Step 5: Solve for x
    x = 66,592,902.13/7,751.80
  6. Step 6: Final answer
    x = 8,590.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.