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Finding the Fourth Proportional to 7,602.93, 11,388.50 and 6,114.10

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Solution

The fourth proportional to 7,602.93, 11,388.50 and 6,114.10 is: 9,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.93 : 11,388.50 = 6,114.10 : x
  2. Step 2: Convert to fraction form
    7,602.93/11,388.50 = 6,114.10/x
  3. Step 3: Cross multiply
    7,602.93x = 11,388.50 × 6,114.10
  4. Step 4: Simplify right side
    7,602.93x = 69,630,427.85
  5. Step 5: Solve for x
    x = 69,630,427.85/7,602.93
  6. Step 6: Final answer
    x = 9,158.37

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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.