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Finding the Fourth Proportional to 7,000.32, 9,659.93 and 4,016.07

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Solution

The fourth proportional to 7,000.32, 9,659.93 and 4,016.07 is: 5,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.32 : 9,659.93 = 4,016.07 : x
  2. Step 2: Convert to fraction form
    7,000.32/9,659.93 = 4,016.07/x
  3. Step 3: Cross multiply
    7,000.32x = 9,659.93 × 4,016.07
  4. Step 4: Simplify right side
    7,000.32x = 38,794,955.08
  5. Step 5: Solve for x
    x = 38,794,955.08/7,000.32
  6. Step 6: Final answer
    x = 5,541.88

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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.