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Finding the Fourth Proportional to 6,190.46, 9,285.57 and 1,510.50

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Solution

The fourth proportional to 6,190.46, 9,285.57 and 1,510.50 is: 2,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.46 : 9,285.57 = 1,510.50 : x
  2. Step 2: Convert to fraction form
    6,190.46/9,285.57 = 1,510.50/x
  3. Step 3: Cross multiply
    6,190.46x = 9,285.57 × 1,510.50
  4. Step 4: Simplify right side
    6,190.46x = 14,025,853.49
  5. Step 5: Solve for x
    x = 14,025,853.49/6,190.46
  6. Step 6: Final answer
    x = 2,265.72

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Half scale
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Double scale
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Similar ratio
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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.