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Finding the Fourth Proportional to 4,243.68, 6,368.04 and 1,507.68

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Solution

The fourth proportional to 4,243.68, 6,368.04 and 1,507.68 is: 2,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.68 : 6,368.04 = 1,507.68 : x
  2. Step 2: Convert to fraction form
    4,243.68/6,368.04 = 1,507.68/x
  3. Step 3: Cross multiply
    4,243.68x = 6,368.04 × 1,507.68
  4. Step 4: Simplify right side
    4,243.68x = 9,600,966.55
  5. Step 5: Solve for x
    x = 9,600,966.55/4,243.68
  6. Step 6: Final answer
    x = 2,262.42

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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.