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Finding the Fourth Proportional to 4,647.54, 6,962.94 and 4,549.13

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Solution

The fourth proportional to 4,647.54, 6,962.94 and 4,549.13 is: 6,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.54 : 6,962.94 = 4,549.13 : x
  2. Step 2: Convert to fraction form
    4,647.54/6,962.94 = 4,549.13/x
  3. Step 3: Cross multiply
    4,647.54x = 6,962.94 × 4,549.13
  4. Step 4: Simplify right side
    4,647.54x = 31,675,319.24
  5. Step 5: Solve for x
    x = 31,675,319.24/4,647.54
  6. Step 6: Final answer
    x = 6,815.50

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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.