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Finding the Fourth Proportional to 9,673.66, 14,509.50 and 3,104.56

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Solution

The fourth proportional to 9,673.66, 14,509.50 and 3,104.56 is: 4,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.66 : 14,509.50 = 3,104.56 : x
  2. Step 2: Convert to fraction form
    9,673.66/14,509.50 = 3,104.56/x
  3. Step 3: Cross multiply
    9,673.66x = 14,509.50 × 3,104.56
  4. Step 4: Simplify right side
    9,673.66x = 45,045,613.32
  5. Step 5: Solve for x
    x = 45,045,613.32/9,673.66
  6. Step 6: Final answer
    x = 4,656.52

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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.