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Finding the Fourth Proportional to 9,188.40, 13,782.60 and 5,300.40

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Solution

The fourth proportional to 9,188.40, 13,782.60 and 5,300.40 is: 7,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.40 : 13,782.60 = 5,300.40 : x
  2. Step 2: Convert to fraction form
    9,188.40/13,782.60 = 5,300.40/x
  3. Step 3: Cross multiply
    9,188.40x = 13,782.60 × 5,300.40
  4. Step 4: Simplify right side
    9,188.40x = 73,053,293.04
  5. Step 5: Solve for x
    x = 73,053,293.04/9,188.40
  6. Step 6: Final answer
    x = 7,950.60

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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.