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Finding the Fourth Proportional to 4,973.16, 6,863.14 and 4,031.08

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Solution

The fourth proportional to 4,973.16, 6,863.14 and 4,031.08 is: 5,563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.16 : 6,863.14 = 4,031.08 : x
  2. Step 2: Convert to fraction form
    4,973.16/6,863.14 = 4,031.08/x
  3. Step 3: Cross multiply
    4,973.16x = 6,863.14 × 4,031.08
  4. Step 4: Simplify right side
    4,973.16x = 27,665,866.39
  5. Step 5: Solve for x
    x = 27,665,866.39/4,973.16
  6. Step 6: Final answer
    x = 5,563.04

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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.