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Finding the Fourth Proportional to 6,941.46, 9,514.96 and 6,848.01

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Solution

The fourth proportional to 6,941.46, 9,514.96 and 6,848.01 is: 9,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.46 : 9,514.96 = 6,848.01 : x
  2. Step 2: Convert to fraction form
    6,941.46/9,514.96 = 6,848.01/x
  3. Step 3: Cross multiply
    6,941.46x = 9,514.96 × 6,848.01
  4. Step 4: Simplify right side
    6,941.46x = 65,158,474.34
  5. Step 5: Solve for x
    x = 65,158,474.34/6,941.46
  6. Step 6: Final answer
    x = 9,386.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.