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Finding the Fourth Proportional to 4,967.92, 6,852.60 and 2,977.12

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Solution

The fourth proportional to 4,967.92, 6,852.60 and 2,977.12 is: 4,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.92 : 6,852.60 = 2,977.12 : x
  2. Step 2: Convert to fraction form
    4,967.92/6,852.60 = 2,977.12/x
  3. Step 3: Cross multiply
    4,967.92x = 6,852.60 × 2,977.12
  4. Step 4: Simplify right side
    4,967.92x = 20,401,012.51
  5. Step 5: Solve for x
    x = 20,401,012.51/4,967.92
  6. Step 6: Final answer
    x = 4,106.55

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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.