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Finding the Fourth Proportional to 11,347.97, 15,659.97 and 6,312.08

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Solution

The fourth proportional to 11,347.97, 15,659.97 and 6,312.08 is: 8,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.97 : 15,659.97 = 6,312.08 : x
  2. Step 2: Convert to fraction form
    11,347.97/15,659.97 = 6,312.08/x
  3. Step 3: Cross multiply
    11,347.97x = 15,659.97 × 6,312.08
  4. Step 4: Simplify right side
    11,347.97x = 98,846,928.51
  5. Step 5: Solve for x
    x = 98,846,928.51/11,347.97
  6. Step 6: Final answer
    x = 8,710.54

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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.