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Finding the Fourth Proportional to 12,464.68, 17,199.93 and 6,875.68

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Solution

The fourth proportional to 12,464.68, 17,199.93 and 6,875.68 is: 9,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.68 : 17,199.93 = 6,875.68 : x
  2. Step 2: Convert to fraction form
    12,464.68/17,199.93 = 6,875.68/x
  3. Step 3: Cross multiply
    12,464.68x = 17,199.93 × 6,875.68
  4. Step 4: Simplify right side
    12,464.68x = 118,261,214.70
  5. Step 5: Solve for x
    x = 118,261,214.70/12,464.68
  6. Step 6: Final answer
    x = 9,487.71

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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.