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Finding the Fourth Proportional to 6,508.02, 9,762.12 and 2,348.34

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Solution

The fourth proportional to 6,508.02, 9,762.12 and 2,348.34 is: 3,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.02 : 9,762.12 = 2,348.34 : x
  2. Step 2: Convert to fraction form
    6,508.02/9,762.12 = 2,348.34/x
  3. Step 3: Cross multiply
    6,508.02x = 9,762.12 × 2,348.34
  4. Step 4: Simplify right side
    6,508.02x = 22,924,776.88
  5. Step 5: Solve for x
    x = 22,924,776.88/6,508.02
  6. Step 6: Final answer
    x = 3,522.54

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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.