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Finding the Fourth Proportional to 23,859.90, 35,802 and 9,830.70

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Solution

The fourth proportional to 23,859.90, 35,802 and 9,830.70 is: 14,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,859.90 : 35,802 = 9,830.70 : x
  2. Step 2: Convert to fraction form
    23,859.90/35,802 = 9,830.70/x
  3. Step 3: Cross multiply
    23,859.90x = 35,802 × 9,830.70
  4. Step 4: Simplify right side
    23,859.90x = 351,958,721.40
  5. Step 5: Solve for x
    x = 351,958,721.40/23,859.90
  6. Step 6: Final answer
    x = 14,751.06

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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.