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Finding the Fourth Proportional to 7,031.37, 9,703.13 and 3,887.49

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Solution

The fourth proportional to 7,031.37, 9,703.13 and 3,887.49 is: 5,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.37 : 9,703.13 = 3,887.49 : x
  2. Step 2: Convert to fraction form
    7,031.37/9,703.13 = 3,887.49/x
  3. Step 3: Cross multiply
    7,031.37x = 9,703.13 × 3,887.49
  4. Step 4: Simplify right side
    7,031.37x = 37,720,801.41
  5. Step 5: Solve for x
    x = 37,720,801.41/7,031.37
  6. Step 6: Final answer
    x = 5,364.64

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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.