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Finding the Fourth Proportional to 11,324.60, 16,964.81 and 7,417.16

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Solution

The fourth proportional to 11,324.60, 16,964.81 and 7,417.16 is: 11,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.60 : 16,964.81 = 7,417.16 : x
  2. Step 2: Convert to fraction form
    11,324.60/16,964.81 = 7,417.16/x
  3. Step 3: Cross multiply
    11,324.60x = 16,964.81 × 7,417.16
  4. Step 4: Simplify right side
    11,324.60x = 125,830,673.05
  5. Step 5: Solve for x
    x = 125,830,673.05/11,324.60
  6. Step 6: Final answer
    x = 11,111.27

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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.