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Finding the Fourth Proportional to 14,455.84, 19,948.10 and 8,167.82

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Solution

The fourth proportional to 14,455.84, 19,948.10 and 8,167.82 is: 11,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.84 : 19,948.10 = 8,167.82 : x
  2. Step 2: Convert to fraction form
    14,455.84/19,948.10 = 8,167.82/x
  3. Step 3: Cross multiply
    14,455.84x = 19,948.10 × 8,167.82
  4. Step 4: Simplify right side
    14,455.84x = 162,932,490.14
  5. Step 5: Solve for x
    x = 162,932,490.14/14,455.84
  6. Step 6: Final answer
    x = 11,271.05

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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.