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Finding the Fourth Proportional to 9,670.90, 14,508.90 and 4,124.56

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Solution

The fourth proportional to 9,670.90, 14,508.90 and 4,124.56 is: 6,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.90 : 14,508.90 = 4,124.56 : x
  2. Step 2: Convert to fraction form
    9,670.90/14,508.90 = 4,124.56/x
  3. Step 3: Cross multiply
    9,670.90x = 14,508.90 × 4,124.56
  4. Step 4: Simplify right side
    9,670.90x = 59,842,828.58
  5. Step 5: Solve for x
    x = 59,842,828.58/9,670.90
  6. Step 6: Final answer
    x = 6,187.93

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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.