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Finding the Fourth Proportional to 9,842.68, 13,583.10 and 5,651.20

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Solution

The fourth proportional to 9,842.68, 13,583.10 and 5,651.20 is: 7,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.68 : 13,583.10 = 5,651.20 : x
  2. Step 2: Convert to fraction form
    9,842.68/13,583.10 = 5,651.20/x
  3. Step 3: Cross multiply
    9,842.68x = 13,583.10 × 5,651.20
  4. Step 4: Simplify right side
    9,842.68x = 76,760,814.72
  5. Step 5: Solve for x
    x = 76,760,814.72/9,842.68
  6. Step 6: Final answer
    x = 7,798.77

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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.