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Finding the Fourth Proportional to 10,025.76, 13,821.08 and 7,032.30

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Solution

The fourth proportional to 10,025.76, 13,821.08 and 7,032.30 is: 9,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.76 : 13,821.08 = 7,032.30 : x
  2. Step 2: Convert to fraction form
    10,025.76/13,821.08 = 7,032.30/x
  3. Step 3: Cross multiply
    10,025.76x = 13,821.08 × 7,032.30
  4. Step 4: Simplify right side
    10,025.76x = 97,193,980.88
  5. Step 5: Solve for x
    x = 97,193,980.88/10,025.76
  6. Step 6: Final answer
    x = 9,694.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.