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Finding the Fourth Proportional to 17,374.77, 23,976 and 9,821.39

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Solution

The fourth proportional to 17,374.77, 23,976 and 9,821.39 is: 13,552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.77 : 23,976 = 9,821.39 : x
  2. Step 2: Convert to fraction form
    17,374.77/23,976 = 9,821.39/x
  3. Step 3: Cross multiply
    17,374.77x = 23,976 × 9,821.39
  4. Step 4: Simplify right side
    17,374.77x = 235,477,526.76
  5. Step 5: Solve for x
    x = 235,477,526.76/17,374.77
  6. Step 6: Final answer
    x = 13,552.84

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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.