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Finding the Fourth Proportional to 12,293.51, 16,965.03 and 6,988.32

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Solution

The fourth proportional to 12,293.51, 16,965.03 and 6,988.32 is: 9,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.51 : 16,965.03 = 6,988.32 : x
  2. Step 2: Convert to fraction form
    12,293.51/16,965.03 = 6,988.32/x
  3. Step 3: Cross multiply
    12,293.51x = 16,965.03 × 6,988.32
  4. Step 4: Simplify right side
    12,293.51x = 118,557,058.45
  5. Step 5: Solve for x
    x = 118,557,058.45/12,293.51
  6. Step 6: Final answer
    x = 9,643.88

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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.