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Finding the Fourth Proportional to 4,792.94, 7,189.42 and 1,506.34

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Solution

The fourth proportional to 4,792.94, 7,189.42 and 1,506.34 is: 2,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.94 : 7,189.42 = 1,506.34 : x
  2. Step 2: Convert to fraction form
    4,792.94/7,189.42 = 1,506.34/x
  3. Step 3: Cross multiply
    4,792.94x = 7,189.42 × 1,506.34
  4. Step 4: Simplify right side
    4,792.94x = 10,829,710.92
  5. Step 5: Solve for x
    x = 10,829,710.92/4,792.94
  6. Step 6: Final answer
    x = 2,259.51

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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.