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Finding the Fourth Proportional to 4,709.71, 6,499.24 and 3,031.19

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Solution

The fourth proportional to 4,709.71, 6,499.24 and 3,031.19 is: 4,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.71 : 6,499.24 = 3,031.19 : x
  2. Step 2: Convert to fraction form
    4,709.71/6,499.24 = 3,031.19/x
  3. Step 3: Cross multiply
    4,709.71x = 6,499.24 × 3,031.19
  4. Step 4: Simplify right side
    4,709.71x = 19,700,415.59
  5. Step 5: Solve for x
    x = 19,700,415.59/4,709.71
  6. Step 6: Final answer
    x = 4,182.93

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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.