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Finding the Fourth Proportional to 7,031.13, 9,701.94 and 5,973.13

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Solution

The fourth proportional to 7,031.13, 9,701.94 and 5,973.13 is: 8,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.13 : 9,701.94 = 5,973.13 : x
  2. Step 2: Convert to fraction form
    7,031.13/9,701.94 = 5,973.13/x
  3. Step 3: Cross multiply
    7,031.13x = 9,701.94 × 5,973.13
  4. Step 4: Simplify right side
    7,031.13x = 57,950,948.87
  5. Step 5: Solve for x
    x = 57,950,948.87/7,031.13
  6. Step 6: Final answer
    x = 8,242.05

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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.