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Finding the Fourth Proportional to 7,073.01, 9,738.45 and 6,416.91

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Solution

The fourth proportional to 7,073.01, 9,738.45 and 6,416.91 is: 8,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.01 : 9,738.45 = 6,416.91 : x
  2. Step 2: Convert to fraction form
    7,073.01/9,738.45 = 6,416.91/x
  3. Step 3: Cross multiply
    7,073.01x = 9,738.45 × 6,416.91
  4. Step 4: Simplify right side
    7,073.01x = 62,490,757.19
  5. Step 5: Solve for x
    x = 62,490,757.19/7,073.01
  6. Step 6: Final answer
    x = 8,835.10

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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.