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Finding the Fourth Proportional to 9,846.56, 14,769.84 and 2,921

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Solution

The fourth proportional to 9,846.56, 14,769.84 and 2,921 is: 4,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.56 : 14,769.84 = 2,921 : x
  2. Step 2: Convert to fraction form
    9,846.56/14,769.84 = 2,921/x
  3. Step 3: Cross multiply
    9,846.56x = 14,769.84 × 2,921
  4. Step 4: Simplify right side
    9,846.56x = 43,142,702.64
  5. Step 5: Solve for x
    x = 43,142,702.64/9,846.56
  6. Step 6: Final answer
    x = 4,381.50

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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.