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Finding the Fourth Proportional to 14,078.99, 19,411.35 and 9,034.31

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Solution

The fourth proportional to 14,078.99, 19,411.35 and 9,034.31 is: 12,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.99 : 19,411.35 = 9,034.31 : x
  2. Step 2: Convert to fraction form
    14,078.99/19,411.35 = 9,034.31/x
  3. Step 3: Cross multiply
    14,078.99x = 19,411.35 × 9,034.31
  4. Step 4: Simplify right side
    14,078.99x = 175,368,056.36
  5. Step 5: Solve for x
    x = 175,368,056.36/14,078.99
  6. Step 6: Final answer
    x = 12,456.02

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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.