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Finding the Fourth Proportional to 6,973.80, 10,459.84 and 2,356.80

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Solution

The fourth proportional to 6,973.80, 10,459.84 and 2,356.80 is: 3,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.80 : 10,459.84 = 2,356.80 : x
  2. Step 2: Convert to fraction form
    6,973.80/10,459.84 = 2,356.80/x
  3. Step 3: Cross multiply
    6,973.80x = 10,459.84 × 2,356.80
  4. Step 4: Simplify right side
    6,973.80x = 24,651,750.91
  5. Step 5: Solve for x
    x = 24,651,750.91/6,973.80
  6. Step 6: Final answer
    x = 3,534.91

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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.