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Finding the Fourth Proportional to 6,401.64, 8,835.36 and 5,054.16

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Solution

The fourth proportional to 6,401.64, 8,835.36 and 5,054.16 is: 6,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.64 : 8,835.36 = 5,054.16 : x
  2. Step 2: Convert to fraction form
    6,401.64/8,835.36 = 5,054.16/x
  3. Step 3: Cross multiply
    6,401.64x = 8,835.36 × 5,054.16
  4. Step 4: Simplify right side
    6,401.64x = 44,655,323.10
  5. Step 5: Solve for x
    x = 44,655,323.10/6,401.64
  6. Step 6: Final answer
    x = 6,975.61

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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.