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Finding the Fourth Proportional to 6,538.78, 9,807.16 and 1,859.01

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Solution

The fourth proportional to 6,538.78, 9,807.16 and 1,859.01 is: 2,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.78 : 9,807.16 = 1,859.01 : x
  2. Step 2: Convert to fraction form
    6,538.78/9,807.16 = 1,859.01/x
  3. Step 3: Cross multiply
    6,538.78x = 9,807.16 × 1,859.01
  4. Step 4: Simplify right side
    6,538.78x = 18,231,608.51
  5. Step 5: Solve for x
    x = 18,231,608.51/6,538.78
  6. Step 6: Final answer
    x = 2,788.23

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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.