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Finding the Fourth Proportional to 7,095.34, 9,793.84 and 4,577.52

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Solution

The fourth proportional to 7,095.34, 9,793.84 and 4,577.52 is: 6,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.34 : 9,793.84 = 4,577.52 : x
  2. Step 2: Convert to fraction form
    7,095.34/9,793.84 = 4,577.52/x
  3. Step 3: Cross multiply
    7,095.34x = 9,793.84 × 4,577.52
  4. Step 4: Simplify right side
    7,095.34x = 44,831,487.03
  5. Step 5: Solve for x
    x = 44,831,487.03/7,095.34
  6. Step 6: Final answer
    x = 6,318.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.