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Finding the Fourth Proportional to 27,313.10, 40,969.65 and 9,784.70

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Solution

The fourth proportional to 27,313.10, 40,969.65 and 9,784.70 is: 14,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313.10 : 40,969.65 = 9,784.70 : x
  2. Step 2: Convert to fraction form
    27,313.10/40,969.65 = 9,784.70/x
  3. Step 3: Cross multiply
    27,313.10x = 40,969.65 × 9,784.70
  4. Step 4: Simplify right side
    27,313.10x = 400,875,734.36
  5. Step 5: Solve for x
    x = 400,875,734.36/27,313.10
  6. Step 6: Final answer
    x = 14,677.05

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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.