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Finding the Fourth Proportional to 7,534.84, 10,408.10 and 6,280.06

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Solution

The fourth proportional to 7,534.84, 10,408.10 and 6,280.06 is: 8,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.84 : 10,408.10 = 6,280.06 : x
  2. Step 2: Convert to fraction form
    7,534.84/10,408.10 = 6,280.06/x
  3. Step 3: Cross multiply
    7,534.84x = 10,408.10 × 6,280.06
  4. Step 4: Simplify right side
    7,534.84x = 65,363,492.49
  5. Step 5: Solve for x
    x = 65,363,492.49/7,534.84
  6. Step 6: Final answer
    x = 8,674.83

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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.