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Finding the Fourth Proportional to 9,283.48, 13,926.42 and 3,439.48

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Solution

The fourth proportional to 9,283.48, 13,926.42 and 3,439.48 is: 5,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.48 : 13,926.42 = 3,439.48 : x
  2. Step 2: Convert to fraction form
    9,283.48/13,926.42 = 3,439.48/x
  3. Step 3: Cross multiply
    9,283.48x = 13,926.42 × 3,439.48
  4. Step 4: Simplify right side
    9,283.48x = 47,899,643.06
  5. Step 5: Solve for x
    x = 47,899,643.06/9,283.48
  6. Step 6: Final answer
    x = 5,159.66

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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.