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Finding the Fourth Proportional to 14,658.34, 20,228.16 and 7,943.68

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Solution

The fourth proportional to 14,658.34, 20,228.16 and 7,943.68 is: 10,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.34 : 20,228.16 = 7,943.68 : x
  2. Step 2: Convert to fraction form
    14,658.34/20,228.16 = 7,943.68/x
  3. Step 3: Cross multiply
    14,658.34x = 20,228.16 × 7,943.68
  4. Step 4: Simplify right side
    14,658.34x = 160,686,030.03
  5. Step 5: Solve for x
    x = 160,686,030.03/14,658.34
  6. Step 6: Final answer
    x = 10,962.09

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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.