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Finding the Fourth Proportional to 23,533, 35,302.79 and 6,894.24

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Solution

The fourth proportional to 23,533, 35,302.79 and 6,894.24 is: 10,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533 : 35,302.79 = 6,894.24 : x
  2. Step 2: Convert to fraction form
    23,533/35,302.79 = 6,894.24/x
  3. Step 3: Cross multiply
    23,533x = 35,302.79 × 6,894.24
  4. Step 4: Simplify right side
    23,533x = 243,385,906.93
  5. Step 5: Solve for x
    x = 243,385,906.93/23,533
  6. Step 6: Final answer
    x = 10,342.32

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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.