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Finding the Fourth Proportional to 10,734.61, 14,796.64 and 8,462.24

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Solution

The fourth proportional to 10,734.61, 14,796.64 and 8,462.24 is: 11,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.61 : 14,796.64 = 8,462.24 : x
  2. Step 2: Convert to fraction form
    10,734.61/14,796.64 = 8,462.24/x
  3. Step 3: Cross multiply
    10,734.61x = 14,796.64 × 8,462.24
  4. Step 4: Simplify right side
    10,734.61x = 125,212,734.71
  5. Step 5: Solve for x
    x = 125,212,734.71/10,734.61
  6. Step 6: Final answer
    x = 11,664.40

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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.