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Finding the Fourth Proportional to 9,347.80, 14,016.84 and 5,829.16

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Solution

The fourth proportional to 9,347.80, 14,016.84 and 5,829.16 is: 8,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.80 : 14,016.84 = 5,829.16 : x
  2. Step 2: Convert to fraction form
    9,347.80/14,016.84 = 5,829.16/x
  3. Step 3: Cross multiply
    9,347.80x = 14,016.84 × 5,829.16
  4. Step 4: Simplify right side
    9,347.80x = 81,706,403.05
  5. Step 5: Solve for x
    x = 81,706,403.05/9,347.80
  6. Step 6: Final answer
    x = 8,740.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.