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Finding the Fourth Proportional to 6,970.93, 10,447.17 and 3,266.53

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Solution

The fourth proportional to 6,970.93, 10,447.17 and 3,266.53 is: 4,895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.93 : 10,447.17 = 3,266.53 : x
  2. Step 2: Convert to fraction form
    6,970.93/10,447.17 = 3,266.53/x
  3. Step 3: Cross multiply
    6,970.93x = 10,447.17 × 3,266.53
  4. Step 4: Simplify right side
    6,970.93x = 34,125,925.65
  5. Step 5: Solve for x
    x = 34,125,925.65/6,970.93
  6. Step 6: Final answer
    x = 4,895.46

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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.