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Finding the Fourth Proportional to 14,461.74, 19,957.19 and 8,174.12

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Solution

The fourth proportional to 14,461.74, 19,957.19 and 8,174.12 is: 11,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.74 : 19,957.19 = 8,174.12 : x
  2. Step 2: Convert to fraction form
    14,461.74/19,957.19 = 8,174.12/x
  3. Step 3: Cross multiply
    14,461.74x = 19,957.19 × 8,174.12
  4. Step 4: Simplify right side
    14,461.74x = 163,132,325.27
  5. Step 5: Solve for x
    x = 163,132,325.27/14,461.74
  6. Step 6: Final answer
    x = 11,280.27

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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.