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Finding the Fourth Proportional to 4,927.61, 7,419.20 and 4,346.24

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Solution

The fourth proportional to 4,927.61, 7,419.20 and 4,346.24 is: 6,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.61 : 7,419.20 = 4,346.24 : x
  2. Step 2: Convert to fraction form
    4,927.61/7,419.20 = 4,346.24/x
  3. Step 3: Cross multiply
    4,927.61x = 7,419.20 × 4,346.24
  4. Step 4: Simplify right side
    4,927.61x = 32,245,564.98
  5. Step 5: Solve for x
    x = 32,245,564.98/4,927.61
  6. Step 6: Final answer
    x = 6,543.85

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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.