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Finding the Fourth Proportional to 14,681.70, 22,010.81 and 7,658.19

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Solution

The fourth proportional to 14,681.70, 22,010.81 and 7,658.19 is: 11,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.70 : 22,010.81 = 7,658.19 : x
  2. Step 2: Convert to fraction form
    14,681.70/22,010.81 = 7,658.19/x
  3. Step 3: Cross multiply
    14,681.70x = 22,010.81 × 7,658.19
  4. Step 4: Simplify right side
    14,681.70x = 168,562,926.74
  5. Step 5: Solve for x
    x = 168,562,926.74/14,681.70
  6. Step 6: Final answer
    x = 11,481.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.