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Finding the Fourth Proportional to 7,798.30, 11,701.50 and 7,380.16

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Solution

The fourth proportional to 7,798.30, 11,701.50 and 7,380.16 is: 11,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.30 : 11,701.50 = 7,380.16 : x
  2. Step 2: Convert to fraction form
    7,798.30/11,701.50 = 7,380.16/x
  3. Step 3: Cross multiply
    7,798.30x = 11,701.50 × 7,380.16
  4. Step 4: Simplify right side
    7,798.30x = 86,358,942.24
  5. Step 5: Solve for x
    x = 86,358,942.24/7,798.30
  6. Step 6: Final answer
    x = 11,074.07

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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.