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Finding the Fourth Proportional to 17,799, 24,561.66 and 9,840.76

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Solution

The fourth proportional to 17,799, 24,561.66 and 9,840.76 is: 13,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,799 : 24,561.66 = 9,840.76 : x
  2. Step 2: Convert to fraction form
    17,799/24,561.66 = 9,840.76/x
  3. Step 3: Cross multiply
    17,799x = 24,561.66 × 9,840.76
  4. Step 4: Simplify right side
    17,799x = 241,705,401.26
  5. Step 5: Solve for x
    x = 241,705,401.26/17,799
  6. Step 6: Final answer
    x = 13,579.72

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Half scale
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Double scale
Find fourth proportional to 17,800, 24,563.04 and 9,841.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.