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Finding the Fourth Proportional to 7,037, 9,711.24 and 4,242.68

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Solution

The fourth proportional to 7,037, 9,711.24 and 4,242.68 is: 5,855.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037 : 9,711.24 = 4,242.68 : x
  2. Step 2: Convert to fraction form
    7,037/9,711.24 = 4,242.68/x
  3. Step 3: Cross multiply
    7,037x = 9,711.24 × 4,242.68
  4. Step 4: Simplify right side
    7,037x = 41,201,683.72
  5. Step 5: Solve for x
    x = 41,201,683.72/7,037
  6. Step 6: Final answer
    x = 5,855.01

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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.