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Finding the Fourth Proportional to 5,012.56, 6,915.76 and 3,023.76

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Solution

The fourth proportional to 5,012.56, 6,915.76 and 3,023.76 is: 4,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.56 : 6,915.76 = 3,023.76 : x
  2. Step 2: Convert to fraction form
    5,012.56/6,915.76 = 3,023.76/x
  3. Step 3: Cross multiply
    5,012.56x = 6,915.76 × 3,023.76
  4. Step 4: Simplify right side
    5,012.56x = 20,911,598.46
  5. Step 5: Solve for x
    x = 20,911,598.46/5,012.56
  6. Step 6: Final answer
    x = 4,171.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.