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Finding the Fourth Proportional to 10,673.02, 16,009.62 and 9,869.50

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Solution

The fourth proportional to 10,673.02, 16,009.62 and 9,869.50 is: 14,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.02 : 16,009.62 = 9,869.50 : x
  2. Step 2: Convert to fraction form
    10,673.02/16,009.62 = 9,869.50/x
  3. Step 3: Cross multiply
    10,673.02x = 16,009.62 × 9,869.50
  4. Step 4: Simplify right side
    10,673.02x = 158,006,944.59
  5. Step 5: Solve for x
    x = 158,006,944.59/10,673.02
  6. Step 6: Final answer
    x = 14,804.33

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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.