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Finding the Fourth Proportional to 9,926.77, 13,703.16 and 6,697.30

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Solution

The fourth proportional to 9,926.77, 13,703.16 and 6,697.30 is: 9,245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.77 : 13,703.16 = 6,697.30 : x
  2. Step 2: Convert to fraction form
    9,926.77/13,703.16 = 6,697.30/x
  3. Step 3: Cross multiply
    9,926.77x = 13,703.16 × 6,697.30
  4. Step 4: Simplify right side
    9,926.77x = 91,774,173.47
  5. Step 5: Solve for x
    x = 91,774,173.47/9,926.77
  6. Step 6: Final answer
    x = 9,245.12

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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.