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Finding the Fourth Proportional to 6,524.58, 9,002.16 and 4,007.64

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Solution

The fourth proportional to 6,524.58, 9,002.16 and 4,007.64 is: 5,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.58 : 9,002.16 = 4,007.64 : x
  2. Step 2: Convert to fraction form
    6,524.58/9,002.16 = 4,007.64/x
  3. Step 3: Cross multiply
    6,524.58x = 9,002.16 × 4,007.64
  4. Step 4: Simplify right side
    6,524.58x = 36,077,416.50
  5. Step 5: Solve for x
    x = 36,077,416.50/6,524.58
  6. Step 6: Final answer
    x = 5,529.46

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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.