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Finding the Fourth Proportional to 14,126.13, 19,494 and 7,838.51

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Solution

The fourth proportional to 14,126.13, 19,494 and 7,838.51 is: 10,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.13 : 19,494 = 7,838.51 : x
  2. Step 2: Convert to fraction form
    14,126.13/19,494 = 7,838.51/x
  3. Step 3: Cross multiply
    14,126.13x = 19,494 × 7,838.51
  4. Step 4: Simplify right side
    14,126.13x = 152,803,816.47
  5. Step 5: Solve for x
    x = 152,803,816.47/14,126.13
  6. Step 6: Final answer
    x = 10,817.10

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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.