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Finding the Fourth Proportional to 9,778.12, 14,664.28 and 4,230.12

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Solution

The fourth proportional to 9,778.12, 14,664.28 and 4,230.12 is: 6,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.12 : 14,664.28 = 4,230.12 : x
  2. Step 2: Convert to fraction form
    9,778.12/14,664.28 = 4,230.12/x
  3. Step 3: Cross multiply
    9,778.12x = 14,664.28 × 4,230.12
  4. Step 4: Simplify right side
    9,778.12x = 62,031,664.11
  5. Step 5: Solve for x
    x = 62,031,664.11/9,778.12
  6. Step 6: Final answer
    x = 6,343.93

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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.