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Finding the Fourth Proportional to 4,655.71, 6,973.52 and 2,186.83

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Solution

The fourth proportional to 4,655.71, 6,973.52 and 2,186.83 is: 3,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.71 : 6,973.52 = 2,186.83 : x
  2. Step 2: Convert to fraction form
    4,655.71/6,973.52 = 2,186.83/x
  3. Step 3: Cross multiply
    4,655.71x = 6,973.52 × 2,186.83
  4. Step 4: Simplify right side
    4,655.71x = 15,249,867.87
  5. Step 5: Solve for x
    x = 15,249,867.87/4,655.71
  6. Step 6: Final answer
    x = 3,275.52

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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.