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Finding the Fourth Proportional to 6,646, 9,962.70 and 4,307.80

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Solution

The fourth proportional to 6,646, 9,962.70 and 4,307.80 is: 6,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646 : 9,962.70 = 4,307.80 : x
  2. Step 2: Convert to fraction form
    6,646/9,962.70 = 4,307.80/x
  3. Step 3: Cross multiply
    6,646x = 9,962.70 × 4,307.80
  4. Step 4: Simplify right side
    6,646x = 42,917,319.06
  5. Step 5: Solve for x
    x = 42,917,319.06/6,646
  6. Step 6: Final answer
    x = 6,457.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.