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Finding the Fourth Proportional to 7,038.12, 9,709.44 and 4,052.88

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Solution

The fourth proportional to 7,038.12, 9,709.44 and 4,052.88 is: 5,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.12 : 9,709.44 = 4,052.88 : x
  2. Step 2: Convert to fraction form
    7,038.12/9,709.44 = 4,052.88/x
  3. Step 3: Cross multiply
    7,038.12x = 9,709.44 × 4,052.88
  4. Step 4: Simplify right side
    7,038.12x = 39,351,195.19
  5. Step 5: Solve for x
    x = 39,351,195.19/7,038.12
  6. Step 6: Final answer
    x = 5,591.15

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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.