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Finding the Fourth Proportional to 6,503.25, 9,719.07 and 4,751.91

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Solution

The fourth proportional to 6,503.25, 9,719.07 and 4,751.91 is: 7,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.25 : 9,719.07 = 4,751.91 : x
  2. Step 2: Convert to fraction form
    6,503.25/9,719.07 = 4,751.91/x
  3. Step 3: Cross multiply
    6,503.25x = 9,719.07 × 4,751.91
  4. Step 4: Simplify right side
    6,503.25x = 46,184,145.92
  5. Step 5: Solve for x
    x = 46,184,145.92/6,503.25
  6. Step 6: Final answer
    x = 7,101.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.