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Finding the Fourth Proportional to 10,656.30, 14,699.67 and 6,670.50

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Solution

The fourth proportional to 10,656.30, 14,699.67 and 6,670.50 is: 9,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.30 : 14,699.67 = 6,670.50 : x
  2. Step 2: Convert to fraction form
    10,656.30/14,699.67 = 6,670.50/x
  3. Step 3: Cross multiply
    10,656.30x = 14,699.67 × 6,670.50
  4. Step 4: Simplify right side
    10,656.30x = 98,054,148.74
  5. Step 5: Solve for x
    x = 98,054,148.74/10,656.30
  6. Step 6: Final answer
    x = 9,201.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.