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Finding the Fourth Proportional to 7,670.03, 11,495.63 and 3,970.16

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Solution

The fourth proportional to 7,670.03, 11,495.63 and 3,970.16 is: 5,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.03 : 11,495.63 = 3,970.16 : x
  2. Step 2: Convert to fraction form
    7,670.03/11,495.63 = 3,970.16/x
  3. Step 3: Cross multiply
    7,670.03x = 11,495.63 × 3,970.16
  4. Step 4: Simplify right side
    7,670.03x = 45,639,442.85
  5. Step 5: Solve for x
    x = 45,639,442.85/7,670.03
  6. Step 6: Final answer
    x = 5,950.36

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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.