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Finding the Fourth Proportional to 14,148.12, 19,506.40 and 8,841

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Solution

The fourth proportional to 14,148.12, 19,506.40 and 8,841 is: 12,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.12 : 19,506.40 = 8,841 : x
  2. Step 2: Convert to fraction form
    14,148.12/19,506.40 = 8,841/x
  3. Step 3: Cross multiply
    14,148.12x = 19,506.40 × 8,841
  4. Step 4: Simplify right side
    14,148.12x = 172,456,082.40
  5. Step 5: Solve for x
    x = 172,456,082.40/14,148.12
  6. Step 6: Final answer
    x = 12,189.33

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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.