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Finding the Fourth Proportional to 9,847.58, 14,751.92 and 5,684.99

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Solution

The fourth proportional to 9,847.58, 14,751.92 and 5,684.99 is: 8,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.58 : 14,751.92 = 5,684.99 : x
  2. Step 2: Convert to fraction form
    9,847.58/14,751.92 = 5,684.99/x
  3. Step 3: Cross multiply
    9,847.58x = 14,751.92 × 5,684.99
  4. Step 4: Simplify right side
    9,847.58x = 83,864,458.13
  5. Step 5: Solve for x
    x = 83,864,458.13/9,847.58
  6. Step 6: Final answer
    x = 8,516.25

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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.