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Finding the Fourth Proportional to 9,703.70, 14,555.55 and 4,156.10

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Solution

The fourth proportional to 9,703.70, 14,555.55 and 4,156.10 is: 6,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.70 : 14,555.55 = 4,156.10 : x
  2. Step 2: Convert to fraction form
    9,703.70/14,555.55 = 4,156.10/x
  3. Step 3: Cross multiply
    9,703.70x = 14,555.55 × 4,156.10
  4. Step 4: Simplify right side
    9,703.70x = 60,494,321.36
  5. Step 5: Solve for x
    x = 60,494,321.36/9,703.70
  6. Step 6: Final answer
    x = 6,234.15

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Similar ratio
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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.