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Finding the Fourth Proportional to 15,970.72, 23,956.08 and 6,113.02

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Solution

The fourth proportional to 15,970.72, 23,956.08 and 6,113.02 is: 9,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.72 : 23,956.08 = 6,113.02 : x
  2. Step 2: Convert to fraction form
    15,970.72/23,956.08 = 6,113.02/x
  3. Step 3: Cross multiply
    15,970.72x = 23,956.08 × 6,113.02
  4. Step 4: Simplify right side
    15,970.72x = 146,443,996.16
  5. Step 5: Solve for x
    x = 146,443,996.16/15,970.72
  6. Step 6: Final answer
    x = 9,169.53

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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.