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Finding the Fourth Proportional to 9,670.10, 14,505.15 and 4,129.70

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Solution

The fourth proportional to 9,670.10, 14,505.15 and 4,129.70 is: 6,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.10 : 14,505.15 = 4,129.70 : x
  2. Step 2: Convert to fraction form
    9,670.10/14,505.15 = 4,129.70/x
  3. Step 3: Cross multiply
    9,670.10x = 14,505.15 × 4,129.70
  4. Step 4: Simplify right side
    9,670.10x = 59,901,917.96
  5. Step 5: Solve for x
    x = 59,901,917.96/9,670.10
  6. Step 6: Final answer
    x = 6,194.55

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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.