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Finding the Fourth Proportional to 10,321.54, 15,482.25 and 7,026.46

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Solution

The fourth proportional to 10,321.54, 15,482.25 and 7,026.46 is: 10,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.54 : 15,482.25 = 7,026.46 : x
  2. Step 2: Convert to fraction form
    10,321.54/15,482.25 = 7,026.46/x
  3. Step 3: Cross multiply
    10,321.54x = 15,482.25 × 7,026.46
  4. Step 4: Simplify right side
    10,321.54x = 108,785,410.34
  5. Step 5: Solve for x
    x = 108,785,410.34/10,321.54
  6. Step 6: Final answer
    x = 10,539.65

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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.