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Finding the Fourth Proportional to 13,712.80, 20,568.48 and 7,477.60

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Solution

The fourth proportional to 13,712.80, 20,568.48 and 7,477.60 is: 11,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.80 : 20,568.48 = 7,477.60 : x
  2. Step 2: Convert to fraction form
    13,712.80/20,568.48 = 7,477.60/x
  3. Step 3: Cross multiply
    13,712.80x = 20,568.48 × 7,477.60
  4. Step 4: Simplify right side
    13,712.80x = 153,802,866.05
  5. Step 5: Solve for x
    x = 153,802,866.05/13,712.80
  6. Step 6: Final answer
    x = 11,216.01

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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.