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Finding the Fourth Proportional to 9,357.60, 12,911.84 and 5,825.60

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Solution

The fourth proportional to 9,357.60, 12,911.84 and 5,825.60 is: 8,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.60 : 12,911.84 = 5,825.60 : x
  2. Step 2: Convert to fraction form
    9,357.60/12,911.84 = 5,825.60/x
  3. Step 3: Cross multiply
    9,357.60x = 12,911.84 × 5,825.60
  4. Step 4: Simplify right side
    9,357.60x = 75,219,215.10
  5. Step 5: Solve for x
    x = 75,219,215.10/9,357.60
  6. Step 6: Final answer
    x = 8,038.30

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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.