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Finding the Fourth Proportional to 14,751.47, 20,354.74 and 8,462.63

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Solution

The fourth proportional to 14,751.47, 20,354.74 and 8,462.63 is: 11,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751.47 : 20,354.74 = 8,462.63 : x
  2. Step 2: Convert to fraction form
    14,751.47/20,354.74 = 8,462.63/x
  3. Step 3: Cross multiply
    14,751.47x = 20,354.74 × 8,462.63
  4. Step 4: Simplify right side
    14,751.47x = 172,254,510.44
  5. Step 5: Solve for x
    x = 172,254,510.44/14,751.47
  6. Step 6: Final answer
    x = 11,677.11

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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.