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Finding the Fourth Proportional to 6,995.64, 10,495 and 2,317.10

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Solution

The fourth proportional to 6,995.64, 10,495 and 2,317.10 is: 3,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.64 : 10,495 = 2,317.10 : x
  2. Step 2: Convert to fraction form
    6,995.64/10,495 = 2,317.10/x
  3. Step 3: Cross multiply
    6,995.64x = 10,495 × 2,317.10
  4. Step 4: Simplify right side
    6,995.64x = 24,317,964.50
  5. Step 5: Solve for x
    x = 24,317,964.50/6,995.64
  6. Step 6: Final answer
    x = 3,476.16

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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.