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Finding the Fourth Proportional to 10,497.63, 14,484.11 and 8,504.45

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Solution

The fourth proportional to 10,497.63, 14,484.11 and 8,504.45 is: 11,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.63 : 14,484.11 = 8,504.45 : x
  2. Step 2: Convert to fraction form
    10,497.63/14,484.11 = 8,504.45/x
  3. Step 3: Cross multiply
    10,497.63x = 14,484.11 × 8,504.45
  4. Step 4: Simplify right side
    10,497.63x = 123,179,274.35
  5. Step 5: Solve for x
    x = 123,179,274.35/10,497.63
  6. Step 6: Final answer
    x = 11,734.01

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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.