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Finding the Fourth Proportional to 12,651, 17,458.27 and 6,985.74

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Solution

The fourth proportional to 12,651, 17,458.27 and 6,985.74 is: 9,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651 : 17,458.27 = 6,985.74 : x
  2. Step 2: Convert to fraction form
    12,651/17,458.27 = 6,985.74/x
  3. Step 3: Cross multiply
    12,651x = 17,458.27 × 6,985.74
  4. Step 4: Simplify right side
    12,651x = 121,958,935.07
  5. Step 5: Solve for x
    x = 121,958,935.07/12,651
  6. Step 6: Final answer
    x = 9,640.26

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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.