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Finding the Fourth Proportional to 10,383.70, 15,575.55 and 9,822.10

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Solution

The fourth proportional to 10,383.70, 15,575.55 and 9,822.10 is: 14,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.70 : 15,575.55 = 9,822.10 : x
  2. Step 2: Convert to fraction form
    10,383.70/15,575.55 = 9,822.10/x
  3. Step 3: Cross multiply
    10,383.70x = 15,575.55 × 9,822.10
  4. Step 4: Simplify right side
    10,383.70x = 152,984,609.66
  5. Step 5: Solve for x
    x = 152,984,609.66/10,383.70
  6. Step 6: Final answer
    x = 14,733.15

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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.