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Finding the Fourth Proportional to 9,782.93, 14,661.12 and 4,506.33

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Solution

The fourth proportional to 9,782.93, 14,661.12 and 4,506.33 is: 6,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.93 : 14,661.12 = 4,506.33 : x
  2. Step 2: Convert to fraction form
    9,782.93/14,661.12 = 4,506.33/x
  3. Step 3: Cross multiply
    9,782.93x = 14,661.12 × 4,506.33
  4. Step 4: Simplify right side
    9,782.93x = 66,067,844.89
  5. Step 5: Solve for x
    x = 66,067,844.89/9,782.93
  6. Step 6: Final answer
    x = 6,753.38

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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.