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Finding the Fourth Proportional to 5,971.64, 8,932.56 and 5,528.76

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Solution

The fourth proportional to 5,971.64, 8,932.56 and 5,528.76 is: 8,270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.64 : 8,932.56 = 5,528.76 : x
  2. Step 2: Convert to fraction form
    5,971.64/8,932.56 = 5,528.76/x
  3. Step 3: Cross multiply
    5,971.64x = 8,932.56 × 5,528.76
  4. Step 4: Simplify right side
    5,971.64x = 49,385,980.43
  5. Step 5: Solve for x
    x = 49,385,980.43/5,971.64
  6. Step 6: Final answer
    x = 8,270.09

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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.