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Finding the Fourth Proportional to 7,700.68, 10,627.20 and 4,343.63

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Solution

The fourth proportional to 7,700.68, 10,627.20 and 4,343.63 is: 5,994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.68 : 10,627.20 = 4,343.63 : x
  2. Step 2: Convert to fraction form
    7,700.68/10,627.20 = 4,343.63/x
  3. Step 3: Cross multiply
    7,700.68x = 10,627.20 × 4,343.63
  4. Step 4: Simplify right side
    7,700.68x = 46,160,624.74
  5. Step 5: Solve for x
    x = 46,160,624.74/7,700.68
  6. Step 6: Final answer
    x = 5,994.36

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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.