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Finding the Fourth Proportional to 23,503.68, 35,256.96 and 7,709.76

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Solution

The fourth proportional to 23,503.68, 35,256.96 and 7,709.76 is: 11,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,503.68 : 35,256.96 = 7,709.76 : x
  2. Step 2: Convert to fraction form
    23,503.68/35,256.96 = 7,709.76/x
  3. Step 3: Cross multiply
    23,503.68x = 35,256.96 × 7,709.76
  4. Step 4: Simplify right side
    23,503.68x = 271,822,699.93
  5. Step 5: Solve for x
    x = 271,822,699.93/23,503.68
  6. Step 6: Final answer
    x = 11,565.11

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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.