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Finding the Fourth Proportional to 9,776.70, 13,473.74 and 6,944.19

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Solution

The fourth proportional to 9,776.70, 13,473.74 and 6,944.19 is: 9,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.70 : 13,473.74 = 6,944.19 : x
  2. Step 2: Convert to fraction form
    9,776.70/13,473.74 = 6,944.19/x
  3. Step 3: Cross multiply
    9,776.70x = 13,473.74 × 6,944.19
  4. Step 4: Simplify right side
    9,776.70x = 93,564,210.57
  5. Step 5: Solve for x
    x = 93,564,210.57/9,776.70
  6. Step 6: Final answer
    x = 9,570.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.