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Finding the Fourth Proportional to 9,305.64, 13,959.06 and 4,111.50

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Solution

The fourth proportional to 9,305.64, 13,959.06 and 4,111.50 is: 6,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.64 : 13,959.06 = 4,111.50 : x
  2. Step 2: Convert to fraction form
    9,305.64/13,959.06 = 4,111.50/x
  3. Step 3: Cross multiply
    9,305.64x = 13,959.06 × 4,111.50
  4. Step 4: Simplify right side
    9,305.64x = 57,392,675.19
  5. Step 5: Solve for x
    x = 57,392,675.19/9,305.64
  6. Step 6: Final answer
    x = 6,167.52

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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.