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Finding the Fourth Proportional to 10,695.40, 16,043.10 and 9,820.60

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Solution

The fourth proportional to 10,695.40, 16,043.10 and 9,820.60 is: 14,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.40 : 16,043.10 = 9,820.60 : x
  2. Step 2: Convert to fraction form
    10,695.40/16,043.10 = 9,820.60/x
  3. Step 3: Cross multiply
    10,695.40x = 16,043.10 × 9,820.60
  4. Step 4: Simplify right side
    10,695.40x = 157,552,867.86
  5. Step 5: Solve for x
    x = 157,552,867.86/10,695.40
  6. Step 6: Final answer
    x = 14,730.90

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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.