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Finding the Fourth Proportional to 7,552.84, 10,424.16 and 4,408.42

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Solution

The fourth proportional to 7,552.84, 10,424.16 and 4,408.42 is: 6,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.84 : 10,424.16 = 4,408.42 : x
  2. Step 2: Convert to fraction form
    7,552.84/10,424.16 = 4,408.42/x
  3. Step 3: Cross multiply
    7,552.84x = 10,424.16 × 4,408.42
  4. Step 4: Simplify right side
    7,552.84x = 45,954,075.43
  5. Step 5: Solve for x
    x = 45,954,075.43/7,552.84
  6. Step 6: Final answer
    x = 6,084.34

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Half scale
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Double scale
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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.