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Finding the Fourth Proportional to 4,656.69, 6,982.64 and 1,732.93

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Solution

The fourth proportional to 4,656.69, 6,982.64 and 1,732.93 is: 2,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.69 : 6,982.64 = 1,732.93 : x
  2. Step 2: Convert to fraction form
    4,656.69/6,982.64 = 1,732.93/x
  3. Step 3: Cross multiply
    4,656.69x = 6,982.64 × 1,732.93
  4. Step 4: Simplify right side
    4,656.69x = 12,100,406.71
  5. Step 5: Solve for x
    x = 12,100,406.71/4,656.69
  6. Step 6: Final answer
    x = 2,598.50

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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.