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Finding the Fourth Proportional to 14,842.16, 22,269.86 and 7,820.48

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Solution

The fourth proportional to 14,842.16, 22,269.86 and 7,820.48 is: 11,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.16 : 22,269.86 = 7,820.48 : x
  2. Step 2: Convert to fraction form
    14,842.16/22,269.86 = 7,820.48/x
  3. Step 3: Cross multiply
    14,842.16x = 22,269.86 × 7,820.48
  4. Step 4: Simplify right side
    14,842.16x = 174,160,994.73
  5. Step 5: Solve for x
    x = 174,160,994.73/14,842.16
  6. Step 6: Final answer
    x = 11,734.21

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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.