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Finding the Fourth Proportional to 6,437.10, 9,670.05 and 6,174.70

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Solution

The fourth proportional to 6,437.10, 9,670.05 and 6,174.70 is: 9,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.10 : 9,670.05 = 6,174.70 : x
  2. Step 2: Convert to fraction form
    6,437.10/9,670.05 = 6,174.70/x
  3. Step 3: Cross multiply
    6,437.10x = 9,670.05 × 6,174.70
  4. Step 4: Simplify right side
    6,437.10x = 59,709,657.74
  5. Step 5: Solve for x
    x = 59,709,657.74/6,437.10
  6. Step 6: Final answer
    x = 9,275.86

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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.