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Finding the Fourth Proportional to 12,585.42, 17,367.93 and 6,996.42

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Solution

The fourth proportional to 12,585.42, 17,367.93 and 6,996.42 is: 9,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.42 : 17,367.93 = 6,996.42 : x
  2. Step 2: Convert to fraction form
    12,585.42/17,367.93 = 6,996.42/x
  3. Step 3: Cross multiply
    12,585.42x = 17,367.93 × 6,996.42
  4. Step 4: Simplify right side
    12,585.42x = 121,513,332.81
  5. Step 5: Solve for x
    x = 121,513,332.81/12,585.42
  6. Step 6: Final answer
    x = 9,655.09

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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.