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Finding the Fourth Proportional to 6,814.40, 9,401.46 and 4,456.40

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Solution

The fourth proportional to 6,814.40, 9,401.46 and 4,456.40 is: 6,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.40 : 9,401.46 = 4,456.40 : x
  2. Step 2: Convert to fraction form
    6,814.40/9,401.46 = 4,456.40/x
  3. Step 3: Cross multiply
    6,814.40x = 9,401.46 × 4,456.40
  4. Step 4: Simplify right side
    6,814.40x = 41,896,666.34
  5. Step 5: Solve for x
    x = 41,896,666.34/6,814.40
  6. Step 6: Final answer
    x = 6,148.25

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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.