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Finding the Fourth Proportional to 9,670.60, 14,505.42 and 3,430.50

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Solution

The fourth proportional to 9,670.60, 14,505.42 and 3,430.50 is: 5,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.60 : 14,505.42 = 3,430.50 : x
  2. Step 2: Convert to fraction form
    9,670.60/14,505.42 = 3,430.50/x
  3. Step 3: Cross multiply
    9,670.60x = 14,505.42 × 3,430.50
  4. Step 4: Simplify right side
    9,670.60x = 49,760,843.31
  5. Step 5: Solve for x
    x = 49,760,843.31/9,670.60
  6. Step 6: Final answer
    x = 5,145.58

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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.