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Finding the Fourth Proportional to 6,970.10, 10,506.38 and 6,568.58

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Solution

The fourth proportional to 6,970.10, 10,506.38 and 6,568.58 is: 9,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.10 : 10,506.38 = 6,568.58 : x
  2. Step 2: Convert to fraction form
    6,970.10/10,506.38 = 6,568.58/x
  3. Step 3: Cross multiply
    6,970.10x = 10,506.38 × 6,568.58
  4. Step 4: Simplify right side
    6,970.10x = 69,011,997.54
  5. Step 5: Solve for x
    x = 69,011,997.54/6,970.10
  6. Step 6: Final answer
    x = 9,901.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.