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Finding the Fourth Proportional to 6,970.59, 10,453.04 and 3,459.32

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Solution

The fourth proportional to 6,970.59, 10,453.04 and 3,459.32 is: 5,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.59 : 10,453.04 = 3,459.32 : x
  2. Step 2: Convert to fraction form
    6,970.59/10,453.04 = 3,459.32/x
  3. Step 3: Cross multiply
    6,970.59x = 10,453.04 × 3,459.32
  4. Step 4: Simplify right side
    6,970.59x = 36,160,392.94
  5. Step 5: Solve for x
    x = 36,160,392.94/6,970.59
  6. Step 6: Final answer
    x = 5,187.57

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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.