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Finding the Fourth Proportional to 6,973.75, 10,460.64 and 2,356.75

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Solution

The fourth proportional to 6,973.75, 10,460.64 and 2,356.75 is: 3,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.75 : 10,460.64 = 2,356.75 : x
  2. Step 2: Convert to fraction form
    6,973.75/10,460.64 = 2,356.75/x
  3. Step 3: Cross multiply
    6,973.75x = 10,460.64 × 2,356.75
  4. Step 4: Simplify right side
    6,973.75x = 24,653,113.32
  5. Step 5: Solve for x
    x = 24,653,113.32/6,973.75
  6. Step 6: Final answer
    x = 3,535.13

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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.