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Finding the Fourth Proportional to 23,348.52, 35,015.22 and 7,762.50

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Solution

The fourth proportional to 23,348.52, 35,015.22 and 7,762.50 is: 11,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348.52 : 35,015.22 = 7,762.50 : x
  2. Step 2: Convert to fraction form
    23,348.52/35,015.22 = 7,762.50/x
  3. Step 3: Cross multiply
    23,348.52x = 35,015.22 × 7,762.50
  4. Step 4: Simplify right side
    23,348.52x = 271,805,645.25
  5. Step 5: Solve for x
    x = 271,805,645.25/23,348.52
  6. Step 6: Final answer
    x = 11,641.24

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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.