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Finding the Fourth Proportional to 9,822.99, 13,555.53 and 5,346.84

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Solution

The fourth proportional to 9,822.99, 13,555.53 and 5,346.84 is: 7,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.99 : 13,555.53 = 5,346.84 : x
  2. Step 2: Convert to fraction form
    9,822.99/13,555.53 = 5,346.84/x
  3. Step 3: Cross multiply
    9,822.99x = 13,555.53 × 5,346.84
  4. Step 4: Simplify right side
    9,822.99x = 72,479,250.03
  5. Step 5: Solve for x
    x = 72,479,250.03/9,822.99
  6. Step 6: Final answer
    x = 7,378.53

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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.