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Finding the Fourth Proportional to 9,773.46, 14,657.40 and 2,753.01

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Solution

The fourth proportional to 9,773.46, 14,657.40 and 2,753.01 is: 4,128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.46 : 14,657.40 = 2,753.01 : x
  2. Step 2: Convert to fraction form
    9,773.46/14,657.40 = 2,753.01/x
  3. Step 3: Cross multiply
    9,773.46x = 14,657.40 × 2,753.01
  4. Step 4: Simplify right side
    9,773.46x = 40,351,968.77
  5. Step 5: Solve for x
    x = 40,351,968.77/9,773.46
  6. Step 6: Final answer
    x = 4,128.73

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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.