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Finding the Fourth Proportional to 7,098.40, 10,649.20 and 4,175.20

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Solution

The fourth proportional to 7,098.40, 10,649.20 and 4,175.20 is: 6,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.40 : 10,649.20 = 4,175.20 : x
  2. Step 2: Convert to fraction form
    7,098.40/10,649.20 = 4,175.20/x
  3. Step 3: Cross multiply
    7,098.40x = 10,649.20 × 4,175.20
  4. Step 4: Simplify right side
    7,098.40x = 44,462,539.84
  5. Step 5: Solve for x
    x = 44,462,539.84/7,098.40
  6. Step 6: Final answer
    x = 6,263.74

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1.5x scale

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.