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Finding the Fourth Proportional to 5,972.64, 8,934.06 and 5,529.76

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Solution

The fourth proportional to 5,972.64, 8,934.06 and 5,529.76 is: 8,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.64 : 8,934.06 = 5,529.76 : x
  2. Step 2: Convert to fraction form
    5,972.64/8,934.06 = 5,529.76/x
  3. Step 3: Cross multiply
    5,972.64x = 8,934.06 × 5,529.76
  4. Step 4: Simplify right side
    5,972.64x = 49,403,207.63
  5. Step 5: Solve for x
    x = 49,403,207.63/5,972.64
  6. Step 6: Final answer
    x = 8,271.59

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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.