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Finding the Fourth Proportional to 37,563.16, 56,344.74 and 9,859

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Solution

The fourth proportional to 37,563.16, 56,344.74 and 9,859 is: 14,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,563.16 : 56,344.74 = 9,859 : x
  2. Step 2: Convert to fraction form
    37,563.16/56,344.74 = 9,859/x
  3. Step 3: Cross multiply
    37,563.16x = 56,344.74 × 9,859
  4. Step 4: Simplify right side
    37,563.16x = 555,502,791.66
  5. Step 5: Solve for x
    x = 555,502,791.66/37,563.16
  6. Step 6: Final answer
    x = 14,788.50

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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.