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Finding the Fourth Proportional to 7,442.46, 11,164.50 and 7,014.78

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Solution

The fourth proportional to 7,442.46, 11,164.50 and 7,014.78 is: 10,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.46 : 11,164.50 = 7,014.78 : x
  2. Step 2: Convert to fraction form
    7,442.46/11,164.50 = 7,014.78/x
  3. Step 3: Cross multiply
    7,442.46x = 11,164.50 × 7,014.78
  4. Step 4: Simplify right side
    7,442.46x = 78,316,511.31
  5. Step 5: Solve for x
    x = 78,316,511.31/7,442.46
  6. Step 6: Final answer
    x = 10,522.93

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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.