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Finding the Fourth Proportional to 14,812.40, 20,435.28 and 9,506.40

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Solution

The fourth proportional to 14,812.40, 20,435.28 and 9,506.40 is: 13,115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,812.40 : 20,435.28 = 9,506.40 : x
  2. Step 2: Convert to fraction form
    14,812.40/20,435.28 = 9,506.40/x
  3. Step 3: Cross multiply
    14,812.40x = 20,435.28 × 9,506.40
  4. Step 4: Simplify right side
    14,812.40x = 194,265,945.79
  5. Step 5: Solve for x
    x = 194,265,945.79/14,812.40
  6. Step 6: Final answer
    x = 13,115.09

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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.