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Finding the Fourth Proportional to 15,953.76, 23,930.42 and 7,182.45

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Solution

The fourth proportional to 15,953.76, 23,930.42 and 7,182.45 is: 10,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.76 : 23,930.42 = 7,182.45 : x
  2. Step 2: Convert to fraction form
    15,953.76/23,930.42 = 7,182.45/x
  3. Step 3: Cross multiply
    15,953.76x = 23,930.42 × 7,182.45
  4. Step 4: Simplify right side
    15,953.76x = 171,879,009.22
  5. Step 5: Solve for x
    x = 171,879,009.22/15,953.76
  6. Step 6: Final answer
    x = 10,773.57

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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.