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Finding the Fourth Proportional to 9,842.84, 13,582.60 and 5,593.33

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Solution

The fourth proportional to 9,842.84, 13,582.60 and 5,593.33 is: 7,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.84 : 13,582.60 = 5,593.33 : x
  2. Step 2: Convert to fraction form
    9,842.84/13,582.60 = 5,593.33/x
  3. Step 3: Cross multiply
    9,842.84x = 13,582.60 × 5,593.33
  4. Step 4: Simplify right side
    9,842.84x = 75,971,916.12
  5. Step 5: Solve for x
    x = 75,971,916.12/9,842.84
  6. Step 6: Final answer
    x = 7,718.50

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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.