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Finding the Fourth Proportional to 9,826.64, 13,547.76 and 8,141.84

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Solution

The fourth proportional to 9,826.64, 13,547.76 and 8,141.84 is: 11,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.64 : 13,547.76 = 8,141.84 : x
  2. Step 2: Convert to fraction form
    9,826.64/13,547.76 = 8,141.84/x
  3. Step 3: Cross multiply
    9,826.64x = 13,547.76 × 8,141.84
  4. Step 4: Simplify right side
    9,826.64x = 110,303,694.28
  5. Step 5: Solve for x
    x = 110,303,694.28/9,826.64
  6. Step 6: Final answer
    x = 11,224.97

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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.