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Finding the Fourth Proportional to 6,328.32, 9,443.64 and 5,560.40

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Solution

The fourth proportional to 6,328.32, 9,443.64 and 5,560.40 is: 8,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.32 : 9,443.64 = 5,560.40 : x
  2. Step 2: Convert to fraction form
    6,328.32/9,443.64 = 5,560.40/x
  3. Step 3: Cross multiply
    6,328.32x = 9,443.64 × 5,560.40
  4. Step 4: Simplify right side
    6,328.32x = 52,510,415.86
  5. Step 5: Solve for x
    x = 52,510,415.86/6,328.32
  6. Step 6: Final answer
    x = 8,297.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.