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Finding the Fourth Proportional to 7,435.74, 10,255.95 and 6,314.91

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Solution

The fourth proportional to 7,435.74, 10,255.95 and 6,314.91 is: 8,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.74 : 10,255.95 = 6,314.91 : x
  2. Step 2: Convert to fraction form
    7,435.74/10,255.95 = 6,314.91/x
  3. Step 3: Cross multiply
    7,435.74x = 10,255.95 × 6,314.91
  4. Step 4: Simplify right side
    7,435.74x = 64,765,401.21
  5. Step 5: Solve for x
    x = 64,765,401.21/7,435.74
  6. Step 6: Final answer
    x = 8,710.01

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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.