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Finding the Fourth Proportional to 9,842.22, 13,582.08 and 5,365.98

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Solution

The fourth proportional to 9,842.22, 13,582.08 and 5,365.98 is: 7,404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.22 : 13,582.08 = 5,365.98 : x
  2. Step 2: Convert to fraction form
    9,842.22/13,582.08 = 5,365.98/x
  3. Step 3: Cross multiply
    9,842.22x = 13,582.08 × 5,365.98
  4. Step 4: Simplify right side
    9,842.22x = 72,881,169.64
  5. Step 5: Solve for x
    x = 72,881,169.64/9,842.22
  6. Step 6: Final answer
    x = 7,404.95

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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.