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Finding the Fourth Proportional to 6,697.62, 10,038.42 and 2,312.64

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Solution

The fourth proportional to 6,697.62, 10,038.42 and 2,312.64 is: 3,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.62 : 10,038.42 = 2,312.64 : x
  2. Step 2: Convert to fraction form
    6,697.62/10,038.42 = 2,312.64/x
  3. Step 3: Cross multiply
    6,697.62x = 10,038.42 × 2,312.64
  4. Step 4: Simplify right side
    6,697.62x = 23,215,251.63
  5. Step 5: Solve for x
    x = 23,215,251.63/6,697.62
  6. Step 6: Final answer
    x = 3,466.19

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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.