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Finding the Fourth Proportional to 9,144.76, 13,698.87 and 4,207.63

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Solution

The fourth proportional to 9,144.76, 13,698.87 and 4,207.63 is: 6,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.76 : 13,698.87 = 4,207.63 : x
  2. Step 2: Convert to fraction form
    9,144.76/13,698.87 = 4,207.63/x
  3. Step 3: Cross multiply
    9,144.76x = 13,698.87 × 4,207.63
  4. Step 4: Simplify right side
    9,144.76x = 57,639,776.38
  5. Step 5: Solve for x
    x = 57,639,776.38/9,144.76
  6. Step 6: Final answer
    x = 6,303.04

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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.