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Finding the Fourth Proportional to 37,648.93, 56,473.07 and 9,569.06

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Solution

The fourth proportional to 37,648.93, 56,473.07 and 9,569.06 is: 14,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.93 : 56,473.07 = 9,569.06 : x
  2. Step 2: Convert to fraction form
    37,648.93/56,473.07 = 9,569.06/x
  3. Step 3: Cross multiply
    37,648.93x = 56,473.07 × 9,569.06
  4. Step 4: Simplify right side
    37,648.93x = 540,394,147.37
  5. Step 5: Solve for x
    x = 540,394,147.37/37,648.93
  6. Step 6: Final answer
    x = 14,353.51

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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.