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Finding the Fourth Proportional to 13,807.47, 19,053.74 and 7,839.47

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Solution

The fourth proportional to 13,807.47, 19,053.74 and 7,839.47 is: 10,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.47 : 19,053.74 = 7,839.47 : x
  2. Step 2: Convert to fraction form
    13,807.47/19,053.74 = 7,839.47/x
  3. Step 3: Cross multiply
    13,807.47x = 19,053.74 × 7,839.47
  4. Step 4: Simplify right side
    13,807.47x = 149,371,290.35
  5. Step 5: Solve for x
    x = 149,371,290.35/13,807.47
  6. Step 6: Final answer
    x = 10,818.15

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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.