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Finding the Fourth Proportional to 9,812.68, 14,714.14 and 4,189.46

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Solution

The fourth proportional to 9,812.68, 14,714.14 and 4,189.46 is: 6,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.68 : 14,714.14 = 4,189.46 : x
  2. Step 2: Convert to fraction form
    9,812.68/14,714.14 = 4,189.46/x
  3. Step 3: Cross multiply
    9,812.68x = 14,714.14 × 4,189.46
  4. Step 4: Simplify right side
    9,812.68x = 61,644,300.96
  5. Step 5: Solve for x
    x = 61,644,300.96/9,812.68
  6. Step 6: Final answer
    x = 6,282.11

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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.