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Finding the Fourth Proportional to 9,193.77, 13,772.16 and 7,782.12

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Solution

The fourth proportional to 9,193.77, 13,772.16 and 7,782.12 is: 11,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.77 : 13,772.16 = 7,782.12 : x
  2. Step 2: Convert to fraction form
    9,193.77/13,772.16 = 7,782.12/x
  3. Step 3: Cross multiply
    9,193.77x = 13,772.16 × 7,782.12
  4. Step 4: Simplify right side
    9,193.77x = 107,176,601.78
  5. Step 5: Solve for x
    x = 107,176,601.78/9,193.77
  6. Step 6: Final answer
    x = 11,657.52

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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.