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Finding the Fourth Proportional to 11,962.16, 16,507.78 and 6,657.32

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Solution

The fourth proportional to 11,962.16, 16,507.78 and 6,657.32 is: 9,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.16 : 16,507.78 = 6,657.32 : x
  2. Step 2: Convert to fraction form
    11,962.16/16,507.78 = 6,657.32/x
  3. Step 3: Cross multiply
    11,962.16x = 16,507.78 × 6,657.32
  4. Step 4: Simplify right side
    11,962.16x = 109,897,573.95
  5. Step 5: Solve for x
    x = 109,897,573.95/11,962.16
  6. Step 6: Final answer
    x = 9,187.10

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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.