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Finding the Fourth Proportional to 12,031.64, 16,603.32 and 6,726.32

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Solution

The fourth proportional to 12,031.64, 16,603.32 and 6,726.32 is: 9,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.64 : 16,603.32 = 6,726.32 : x
  2. Step 2: Convert to fraction form
    12,031.64/16,603.32 = 6,726.32/x
  3. Step 3: Cross multiply
    12,031.64x = 16,603.32 × 6,726.32
  4. Step 4: Simplify right side
    12,031.64x = 111,679,243.38
  5. Step 5: Solve for x
    x = 111,679,243.38/12,031.64
  6. Step 6: Final answer
    x = 9,282.13

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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.