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Finding the Fourth Proportional to 9,718.92, 13,409.82 and 7,206.84

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Solution

The fourth proportional to 9,718.92, 13,409.82 and 7,206.84 is: 9,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.92 : 13,409.82 = 7,206.84 : x
  2. Step 2: Convert to fraction form
    9,718.92/13,409.82 = 7,206.84/x
  3. Step 3: Cross multiply
    9,718.92x = 13,409.82 × 7,206.84
  4. Step 4: Simplify right side
    9,718.92x = 96,642,427.17
  5. Step 5: Solve for x
    x = 96,642,427.17/9,718.92
  6. Step 6: Final answer
    x = 9,943.74

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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.