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Finding the Fourth Proportional to 5,074.47, 6,994.83 and 4,667.16

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Solution

The fourth proportional to 5,074.47, 6,994.83 and 4,667.16 is: 6,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.47 : 6,994.83 = 4,667.16 : x
  2. Step 2: Convert to fraction form
    5,074.47/6,994.83 = 4,667.16/x
  3. Step 3: Cross multiply
    5,074.47x = 6,994.83 × 4,667.16
  4. Step 4: Simplify right side
    5,074.47x = 32,645,990.78
  5. Step 5: Solve for x
    x = 32,645,990.78/5,074.47
  6. Step 6: Final answer
    x = 6,433.38

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Half scale
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Double scale
Find fourth proportional to 5,075.47, 6,996.21 and 4,668.16
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.