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Finding the Fourth Proportional to 15,893, 23,833.74 and 7,123.40

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Solution

The fourth proportional to 15,893, 23,833.74 and 7,123.40 is: 10,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893 : 23,833.74 = 7,123.40 : x
  2. Step 2: Convert to fraction form
    15,893/23,833.74 = 7,123.40/x
  3. Step 3: Cross multiply
    15,893x = 23,833.74 × 7,123.40
  4. Step 4: Simplify right side
    15,893x = 169,777,263.52
  5. Step 5: Solve for x
    x = 169,777,263.52/15,893
  6. Step 6: Final answer
    x = 10,682.52

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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.