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Finding the Fourth Proportional to 10,677.40, 16,016.10 and 4,845.40

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Solution

The fourth proportional to 10,677.40, 16,016.10 and 4,845.40 is: 7,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.40 : 16,016.10 = 4,845.40 : x
  2. Step 2: Convert to fraction form
    10,677.40/16,016.10 = 4,845.40/x
  3. Step 3: Cross multiply
    10,677.40x = 16,016.10 × 4,845.40
  4. Step 4: Simplify right side
    10,677.40x = 77,604,410.94
  5. Step 5: Solve for x
    x = 77,604,410.94/10,677.40
  6. Step 6: Final answer
    x = 7,268.10

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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.