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Finding the Fourth Proportional to 4,970.77, 6,863.06 and 4,549.50

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Solution

The fourth proportional to 4,970.77, 6,863.06 and 4,549.50 is: 6,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.77 : 6,863.06 = 4,549.50 : x
  2. Step 2: Convert to fraction form
    4,970.77/6,863.06 = 4,549.50/x
  3. Step 3: Cross multiply
    4,970.77x = 6,863.06 × 4,549.50
  4. Step 4: Simplify right side
    4,970.77x = 31,223,468.72
  5. Step 5: Solve for x
    x = 31,223,468.72/4,970.77
  6. Step 6: Final answer
    x = 6,281.42

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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.