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Finding the Fourth Proportional to 5,526.30, 8,330.82 and 5,159.64

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Solution

The fourth proportional to 5,526.30, 8,330.82 and 5,159.64 is: 7,778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,526.30 : 8,330.82 = 5,159.64 : x
  2. Step 2: Convert to fraction form
    5,526.30/8,330.82 = 5,159.64/x
  3. Step 3: Cross multiply
    5,526.30x = 8,330.82 × 5,159.64
  4. Step 4: Simplify right side
    5,526.30x = 42,984,032.10
  5. Step 5: Solve for x
    x = 42,984,032.10/5,526.30
  6. Step 6: Final answer
    x = 7,778.09

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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.