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Finding the Fourth Proportional to 6,714.64, 9,262.02 and 4,615.12

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Solution

The fourth proportional to 6,714.64, 9,262.02 and 4,615.12 is: 6,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.64 : 9,262.02 = 4,615.12 : x
  2. Step 2: Convert to fraction form
    6,714.64/9,262.02 = 4,615.12/x
  3. Step 3: Cross multiply
    6,714.64x = 9,262.02 × 4,615.12
  4. Step 4: Simplify right side
    6,714.64x = 42,745,333.74
  5. Step 5: Solve for x
    x = 42,745,333.74/6,714.64
  6. Step 6: Final answer
    x = 6,365.99

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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.