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Finding the Fourth Proportional to 9,800.75, 14,673.18 and 6,507.29

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Solution

The fourth proportional to 9,800.75, 14,673.18 and 6,507.29 is: 9,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.75 : 14,673.18 = 6,507.29 : x
  2. Step 2: Convert to fraction form
    9,800.75/14,673.18 = 6,507.29/x
  3. Step 3: Cross multiply
    9,800.75x = 14,673.18 × 6,507.29
  4. Step 4: Simplify right side
    9,800.75x = 95,482,698.57
  5. Step 5: Solve for x
    x = 95,482,698.57/9,800.75
  6. Step 6: Final answer
    x = 9,742.38

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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.