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Finding the Fourth Proportional to 9,673.80, 14,499.90 and 4,126.20

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Solution

The fourth proportional to 9,673.80, 14,499.90 and 4,126.20 is: 6,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.80 : 14,499.90 = 4,126.20 : x
  2. Step 2: Convert to fraction form
    9,673.80/14,499.90 = 4,126.20/x
  3. Step 3: Cross multiply
    9,673.80x = 14,499.90 × 4,126.20
  4. Step 4: Simplify right side
    9,673.80x = 59,829,487.38
  5. Step 5: Solve for x
    x = 59,829,487.38/9,673.80
  6. Step 6: Final answer
    x = 6,184.69

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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.