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Finding the Fourth Proportional to 7,807.64, 11,714.16 and 4,523.60

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Solution

The fourth proportional to 7,807.64, 11,714.16 and 4,523.60 is: 6,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.64 : 11,714.16 = 4,523.60 : x
  2. Step 2: Convert to fraction form
    7,807.64/11,714.16 = 4,523.60/x
  3. Step 3: Cross multiply
    7,807.64x = 11,714.16 × 4,523.60
  4. Step 4: Simplify right side
    7,807.64x = 52,990,174.18
  5. Step 5: Solve for x
    x = 52,990,174.18/7,807.64
  6. Step 6: Final answer
    x = 6,786.96

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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.