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Finding the Fourth Proportional to 13,216.60, 19,794.47 and 7,656.14

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Solution

The fourth proportional to 13,216.60, 19,794.47 and 7,656.14 is: 11,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216.60 : 19,794.47 = 7,656.14 : x
  2. Step 2: Convert to fraction form
    13,216.60/19,794.47 = 7,656.14/x
  3. Step 3: Cross multiply
    13,216.60x = 19,794.47 × 7,656.14
  4. Step 4: Simplify right side
    13,216.60x = 151,549,195.27
  5. Step 5: Solve for x
    x = 151,549,195.27/13,216.60
  6. Step 6: Final answer
    x = 11,466.58

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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.