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Finding the Fourth Proportional to 12,349.31, 17,042.42 and 6,971.81

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Solution

The fourth proportional to 12,349.31, 17,042.42 and 6,971.81 is: 9,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.31 : 17,042.42 = 6,971.81 : x
  2. Step 2: Convert to fraction form
    12,349.31/17,042.42 = 6,971.81/x
  3. Step 3: Cross multiply
    12,349.31x = 17,042.42 × 6,971.81
  4. Step 4: Simplify right side
    12,349.31x = 118,816,574.22
  5. Step 5: Solve for x
    x = 118,816,574.22/12,349.31
  6. Step 6: Final answer
    x = 9,621.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.