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Finding the Fourth Proportional to 15,446.96, 23,176.24 and 7,130.96

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Solution

The fourth proportional to 15,446.96, 23,176.24 and 7,130.96 is: 10,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,446.96 : 23,176.24 = 7,130.96 : x
  2. Step 2: Convert to fraction form
    15,446.96/23,176.24 = 7,130.96/x
  3. Step 3: Cross multiply
    15,446.96x = 23,176.24 × 7,130.96
  4. Step 4: Simplify right side
    15,446.96x = 165,268,840.39
  5. Step 5: Solve for x
    x = 165,268,840.39/15,446.96
  6. Step 6: Final answer
    x = 10,699.12

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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.