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Finding the Fourth Proportional to 12,764.62, 17,612.46 and 7,457.02

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Solution

The fourth proportional to 12,764.62, 17,612.46 and 7,457.02 is: 10,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.62 : 17,612.46 = 7,457.02 : x
  2. Step 2: Convert to fraction form
    12,764.62/17,612.46 = 7,457.02/x
  3. Step 3: Cross multiply
    12,764.62x = 17,612.46 × 7,457.02
  4. Step 4: Simplify right side
    12,764.62x = 131,336,466.47
  5. Step 5: Solve for x
    x = 131,336,466.47/12,764.62
  6. Step 6: Final answer
    x = 10,289.10

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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.