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Finding the Fourth Proportional to 10,403.84, 15,600.16 and 4,553.64

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Solution

The fourth proportional to 10,403.84, 15,600.16 and 4,553.64 is: 6,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.84 : 15,600.16 = 4,553.64 : x
  2. Step 2: Convert to fraction form
    10,403.84/15,600.16 = 4,553.64/x
  3. Step 3: Cross multiply
    10,403.84x = 15,600.16 × 4,553.64
  4. Step 4: Simplify right side
    10,403.84x = 71,037,512.58
  5. Step 5: Solve for x
    x = 71,037,512.58/10,403.84
  6. Step 6: Final answer
    x = 6,828.01

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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.