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Finding the Fourth Proportional to 10,659.64, 16,005.86 and 9,500.53

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Solution

The fourth proportional to 10,659.64, 16,005.86 and 9,500.53 is: 14,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.64 : 16,005.86 = 9,500.53 : x
  2. Step 2: Convert to fraction form
    10,659.64/16,005.86 = 9,500.53/x
  3. Step 3: Cross multiply
    10,659.64x = 16,005.86 × 9,500.53
  4. Step 4: Simplify right side
    10,659.64x = 152,064,089.34
  5. Step 5: Solve for x
    x = 152,064,089.34/10,659.64
  6. Step 6: Final answer
    x = 14,265.41

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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.