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Finding the Fourth Proportional to 14,076.74, 19,420.89 and 9,046.10

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Solution

The fourth proportional to 14,076.74, 19,420.89 and 9,046.10 is: 12,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076.74 : 19,420.89 = 9,046.10 : x
  2. Step 2: Convert to fraction form
    14,076.74/19,420.89 = 9,046.10/x
  3. Step 3: Cross multiply
    14,076.74x = 19,420.89 × 9,046.10
  4. Step 4: Simplify right side
    14,076.74x = 175,683,313.03
  5. Step 5: Solve for x
    x = 175,683,313.03/14,076.74
  6. Step 6: Final answer
    x = 12,480.40

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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.