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Finding the Fourth Proportional to 14,065.74, 19,393.07 and 9,021.06

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Solution

The fourth proportional to 14,065.74, 19,393.07 and 9,021.06 is: 12,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.74 : 19,393.07 = 9,021.06 : x
  2. Step 2: Convert to fraction form
    14,065.74/19,393.07 = 9,021.06/x
  3. Step 3: Cross multiply
    14,065.74x = 19,393.07 × 9,021.06
  4. Step 4: Simplify right side
    14,065.74x = 174,945,973.64
  5. Step 5: Solve for x
    x = 174,945,973.64/14,065.74
  6. Step 6: Final answer
    x = 12,437.74

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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.