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Finding the Fourth Proportional to 9,403.76, 12,977.62 and 5,211.74

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Solution

The fourth proportional to 9,403.76, 12,977.62 and 5,211.74 is: 7,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.76 : 12,977.62 = 5,211.74 : x
  2. Step 2: Convert to fraction form
    9,403.76/12,977.62 = 5,211.74/x
  3. Step 3: Cross multiply
    9,403.76x = 12,977.62 × 5,211.74
  4. Step 4: Simplify right side
    9,403.76x = 67,635,981.26
  5. Step 5: Solve for x
    x = 67,635,981.26/9,403.76
  6. Step 6: Final answer
    x = 7,192.44

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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.