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Finding the Fourth Proportional to 12,175.46, 16,802.10 and 6,586.46

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Solution

The fourth proportional to 12,175.46, 16,802.10 and 6,586.46 is: 9,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.46 : 16,802.10 = 6,586.46 : x
  2. Step 2: Convert to fraction form
    12,175.46/16,802.10 = 6,586.46/x
  3. Step 3: Cross multiply
    12,175.46x = 16,802.10 × 6,586.46
  4. Step 4: Simplify right side
    12,175.46x = 110,666,359.57
  5. Step 5: Solve for x
    x = 110,666,359.57/12,175.46
  6. Step 6: Final answer
    x = 9,089.30

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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.