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Finding the Fourth Proportional to 9,670.88, 14,507.02 and 3,006.50

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Solution

The fourth proportional to 9,670.88, 14,507.02 and 3,006.50 is: 4,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.88 : 14,507.02 = 3,006.50 : x
  2. Step 2: Convert to fraction form
    9,670.88/14,507.02 = 3,006.50/x
  3. Step 3: Cross multiply
    9,670.88x = 14,507.02 × 3,006.50
  4. Step 4: Simplify right side
    9,670.88x = 43,615,355.63
  5. Step 5: Solve for x
    x = 43,615,355.63/9,670.88
  6. Step 6: Final answer
    x = 4,509.97

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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.