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Finding the Fourth Proportional to 6,501.70, 9,754.35 and 4,314.70

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Solution

The fourth proportional to 6,501.70, 9,754.35 and 4,314.70 is: 6,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.70 : 9,754.35 = 4,314.70 : x
  2. Step 2: Convert to fraction form
    6,501.70/9,754.35 = 4,314.70/x
  3. Step 3: Cross multiply
    6,501.70x = 9,754.35 × 4,314.70
  4. Step 4: Simplify right side
    6,501.70x = 42,087,093.95
  5. Step 5: Solve for x
    x = 42,087,093.95/6,501.70
  6. Step 6: Final answer
    x = 6,473.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.