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Finding the Fourth Proportional to 9,857.44, 14,782.08 and 4,010.08

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Solution

The fourth proportional to 9,857.44, 14,782.08 and 4,010.08 is: 6,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.44 : 14,782.08 = 4,010.08 : x
  2. Step 2: Convert to fraction form
    9,857.44/14,782.08 = 4,010.08/x
  3. Step 3: Cross multiply
    9,857.44x = 14,782.08 × 4,010.08
  4. Step 4: Simplify right side
    9,857.44x = 59,277,323.37
  5. Step 5: Solve for x
    x = 59,277,323.37/9,857.44
  6. Step 6: Final answer
    x = 6,013.46

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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.