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Finding the Fourth Proportional to 15,830.12, 21,845.78 and 8,756.48

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Solution

The fourth proportional to 15,830.12, 21,845.78 and 8,756.48 is: 12,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.12 : 21,845.78 = 8,756.48 : x
  2. Step 2: Convert to fraction form
    15,830.12/21,845.78 = 8,756.48/x
  3. Step 3: Cross multiply
    15,830.12x = 21,845.78 × 8,756.48
  4. Step 4: Simplify right side
    15,830.12x = 191,292,135.65
  5. Step 5: Solve for x
    x = 191,292,135.65/15,830.12
  6. Step 6: Final answer
    x = 12,084.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.