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Finding the Fourth Proportional to 23,933.48, 35,897.48 and 9,142.07

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Solution

The fourth proportional to 23,933.48, 35,897.48 and 9,142.07 is: 13,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,933.48 : 35,897.48 = 9,142.07 : x
  2. Step 2: Convert to fraction form
    23,933.48/35,897.48 = 9,142.07/x
  3. Step 3: Cross multiply
    23,933.48x = 35,897.48 × 9,142.07
  4. Step 4: Simplify right side
    23,933.48x = 328,177,084.07
  5. Step 5: Solve for x
    x = 328,177,084.07/23,933.48
  6. Step 6: Final answer
    x = 13,712.05

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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.