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Finding the Fourth Proportional to 12,474.90, 18,696.10 and 5,070.71

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Solution

The fourth proportional to 12,474.90, 18,696.10 and 5,070.71 is: 7,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.90 : 18,696.10 = 5,070.71 : x
  2. Step 2: Convert to fraction form
    12,474.90/18,696.10 = 5,070.71/x
  3. Step 3: Cross multiply
    12,474.90x = 18,696.10 × 5,070.71
  4. Step 4: Simplify right side
    12,474.90x = 94,802,501.23
  5. Step 5: Solve for x
    x = 94,802,501.23/12,474.90
  6. Step 6: Final answer
    x = 7,599.46

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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.