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Finding the Fourth Proportional to 9,821.63, 13,551.63 and 5,842.10

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Solution

The fourth proportional to 9,821.63, 13,551.63 and 5,842.10 is: 8,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.63 : 13,551.63 = 5,842.10 : x
  2. Step 2: Convert to fraction form
    9,821.63/13,551.63 = 5,842.10/x
  3. Step 3: Cross multiply
    9,821.63x = 13,551.63 × 5,842.10
  4. Step 4: Simplify right side
    9,821.63x = 79,169,977.62
  5. Step 5: Solve for x
    x = 79,169,977.62/9,821.63
  6. Step 6: Final answer
    x = 8,060.78

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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.