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Finding the Fourth Proportional to 7,154.55, 10,738 and 4,964.82

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Solution

The fourth proportional to 7,154.55, 10,738 and 4,964.82 is: 7,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.55 : 10,738 = 4,964.82 : x
  2. Step 2: Convert to fraction form
    7,154.55/10,738 = 4,964.82/x
  3. Step 3: Cross multiply
    7,154.55x = 10,738 × 4,964.82
  4. Step 4: Simplify right side
    7,154.55x = 53,312,237.16
  5. Step 5: Solve for x
    x = 53,312,237.16/7,154.55
  6. Step 6: Final answer
    x = 7,451.52

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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.