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Finding the Fourth Proportional to 11,677.77, 17,493.98 and 10,368.81

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Solution

The fourth proportional to 11,677.77, 17,493.98 and 10,368.81 is: 15,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.77 : 17,493.98 = 10,368.81 : x
  2. Step 2: Convert to fraction form
    11,677.77/17,493.98 = 10,368.81/x
  3. Step 3: Cross multiply
    11,677.77x = 17,493.98 × 10,368.81
  4. Step 4: Simplify right side
    11,677.77x = 181,391,702.92
  5. Step 5: Solve for x
    x = 181,391,702.92/11,677.77
  6. Step 6: Final answer
    x = 15,533.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.