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Finding the Fourth Proportional to 23,115, 34,666.70 and 6,470.72

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Solution

The fourth proportional to 23,115, 34,666.70 and 6,470.72 is: 9,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115 : 34,666.70 = 6,470.72 : x
  2. Step 2: Convert to fraction form
    23,115/34,666.70 = 6,470.72/x
  3. Step 3: Cross multiply
    23,115x = 34,666.70 × 6,470.72
  4. Step 4: Simplify right side
    23,115x = 224,318,509.02
  5. Step 5: Solve for x
    x = 224,318,509.02/23,115
  6. Step 6: Final answer
    x = 9,704.46

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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.