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Finding the Fourth Proportional to 11,957.14, 17,916.27 and 7,031.26

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Solution

The fourth proportional to 11,957.14, 17,916.27 and 7,031.26 is: 10,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.14 : 17,916.27 = 7,031.26 : x
  2. Step 2: Convert to fraction form
    11,957.14/17,916.27 = 7,031.26/x
  3. Step 3: Cross multiply
    11,957.14x = 17,916.27 × 7,031.26
  4. Step 4: Simplify right side
    11,957.14x = 125,973,952.60
  5. Step 5: Solve for x
    x = 125,973,952.60/11,957.14
  6. Step 6: Final answer
    x = 10,535.46

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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.