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Finding the Fourth Proportional to 5,156.64, 7,762.68 and 4,404.96

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Solution

The fourth proportional to 5,156.64, 7,762.68 and 4,404.96 is: 6,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.64 : 7,762.68 = 4,404.96 : x
  2. Step 2: Convert to fraction form
    5,156.64/7,762.68 = 4,404.96/x
  3. Step 3: Cross multiply
    5,156.64x = 7,762.68 × 4,404.96
  4. Step 4: Simplify right side
    5,156.64x = 34,194,294.89
  5. Step 5: Solve for x
    x = 34,194,294.89/5,156.64
  6. Step 6: Final answer
    x = 6,631.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.