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Finding the Fourth Proportional to 10,497.48, 15,746.21 and 7,200.59

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Solution

The fourth proportional to 10,497.48, 15,746.21 and 7,200.59 is: 10,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.48 : 15,746.21 = 7,200.59 : x
  2. Step 2: Convert to fraction form
    10,497.48/15,746.21 = 7,200.59/x
  3. Step 3: Cross multiply
    10,497.48x = 15,746.21 × 7,200.59
  4. Step 4: Simplify right side
    10,497.48x = 113,381,887.53
  5. Step 5: Solve for x
    x = 113,381,887.53/10,497.48
  6. Step 6: Final answer
    x = 10,800.87

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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.