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Finding the Fourth Proportional to 7,751.46, 10,697.04 and 4,214.70

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Solution

The fourth proportional to 7,751.46, 10,697.04 and 4,214.70 is: 5,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.46 : 10,697.04 = 4,214.70 : x
  2. Step 2: Convert to fraction form
    7,751.46/10,697.04 = 4,214.70/x
  3. Step 3: Cross multiply
    7,751.46x = 10,697.04 × 4,214.70
  4. Step 4: Simplify right side
    7,751.46x = 45,084,814.49
  5. Step 5: Solve for x
    x = 45,084,814.49/7,751.46
  6. Step 6: Final answer
    x = 5,816.30

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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.