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Finding the Fourth Proportional to 6,553.47, 9,782.68 and 6,065.66

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Solution

The fourth proportional to 6,553.47, 9,782.68 and 6,065.66 is: 9,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.47 : 9,782.68 = 6,065.66 : x
  2. Step 2: Convert to fraction form
    6,553.47/9,782.68 = 6,065.66/x
  3. Step 3: Cross multiply
    6,553.47x = 9,782.68 × 6,065.66
  4. Step 4: Simplify right side
    6,553.47x = 59,338,410.77
  5. Step 5: Solve for x
    x = 59,338,410.77/6,553.47
  6. Step 6: Final answer
    x = 9,054.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.