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Finding the Fourth Proportional to 4,662.40, 6,992.12 and 1,541.82

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Solution

The fourth proportional to 4,662.40, 6,992.12 and 1,541.82 is: 2,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.40 : 6,992.12 = 1,541.82 : x
  2. Step 2: Convert to fraction form
    4,662.40/6,992.12 = 1,541.82/x
  3. Step 3: Cross multiply
    4,662.40x = 6,992.12 × 1,541.82
  4. Step 4: Simplify right side
    4,662.40x = 10,780,590.46
  5. Step 5: Solve for x
    x = 10,780,590.46/4,662.40
  6. Step 6: Final answer
    x = 2,312.24

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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.