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Finding the Fourth Proportional to 10,673.10, 16,009.65 and 9,701.10

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Solution

The fourth proportional to 10,673.10, 16,009.65 and 9,701.10 is: 14,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.10 : 16,009.65 = 9,701.10 : x
  2. Step 2: Convert to fraction form
    10,673.10/16,009.65 = 9,701.10/x
  3. Step 3: Cross multiply
    10,673.10x = 16,009.65 × 9,701.10
  4. Step 4: Simplify right side
    10,673.10x = 155,311,215.62
  5. Step 5: Solve for x
    x = 155,311,215.62/10,673.10
  6. Step 6: Final answer
    x = 14,551.65

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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.