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Finding the Fourth Proportional to 7,697.55, 11,548.08 and 2,432.53

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Solution

The fourth proportional to 7,697.55, 11,548.08 and 2,432.53 is: 3,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.55 : 11,548.08 = 2,432.53 : x
  2. Step 2: Convert to fraction form
    7,697.55/11,548.08 = 2,432.53/x
  3. Step 3: Cross multiply
    7,697.55x = 11,548.08 × 2,432.53
  4. Step 4: Simplify right side
    7,697.55x = 28,091,051.04
  5. Step 5: Solve for x
    x = 28,091,051.04/7,697.55
  6. Step 6: Final answer
    x = 3,649.35

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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.