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Finding the Fourth Proportional to 10,705.10, 16,060.08 and 5,774.63

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Solution

The fourth proportional to 10,705.10, 16,060.08 and 5,774.63 is: 8,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.10 : 16,060.08 = 5,774.63 : x
  2. Step 2: Convert to fraction form
    10,705.10/16,060.08 = 5,774.63/x
  3. Step 3: Cross multiply
    10,705.10x = 16,060.08 × 5,774.63
  4. Step 4: Simplify right side
    10,705.10x = 92,740,939.47
  5. Step 5: Solve for x
    x = 92,740,939.47/10,705.10
  6. Step 6: Final answer
    x = 8,663.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.