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Finding the Fourth Proportional to 4,901.62, 7,353 and 1,783.09

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Solution

The fourth proportional to 4,901.62, 7,353 and 1,783.09 is: 2,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.62 : 7,353 = 1,783.09 : x
  2. Step 2: Convert to fraction form
    4,901.62/7,353 = 1,783.09/x
  3. Step 3: Cross multiply
    4,901.62x = 7,353 × 1,783.09
  4. Step 4: Simplify right side
    4,901.62x = 13,111,060.77
  5. Step 5: Solve for x
    x = 13,111,060.77/4,901.62
  6. Step 6: Final answer
    x = 2,674.84

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Double scale
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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.