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Finding the Fourth Proportional to 14,020.94, 19,348.86 and 8,053

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Solution

The fourth proportional to 14,020.94, 19,348.86 and 8,053 is: 11,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.94 : 19,348.86 = 8,053 : x
  2. Step 2: Convert to fraction form
    14,020.94/19,348.86 = 8,053/x
  3. Step 3: Cross multiply
    14,020.94x = 19,348.86 × 8,053
  4. Step 4: Simplify right side
    14,020.94x = 155,816,369.58
  5. Step 5: Solve for x
    x = 155,816,369.58/14,020.94
  6. Step 6: Final answer
    x = 11,113.12

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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.