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Finding the Fourth Proportional to 7,611.60, 11,417.24 and 3,507.60

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Solution

The fourth proportional to 7,611.60, 11,417.24 and 3,507.60 is: 5,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.60 : 11,417.24 = 3,507.60 : x
  2. Step 2: Convert to fraction form
    7,611.60/11,417.24 = 3,507.60/x
  3. Step 3: Cross multiply
    7,611.60x = 11,417.24 × 3,507.60
  4. Step 4: Simplify right side
    7,611.60x = 40,047,111.02
  5. Step 5: Solve for x
    x = 40,047,111.02/7,611.60
  6. Step 6: Final answer
    x = 5,261.33

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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.