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Finding the Fourth Proportional to 6,274.80, 8,649.18 and 4,946.40

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Solution

The fourth proportional to 6,274.80, 8,649.18 and 4,946.40 is: 6,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.80 : 8,649.18 = 4,946.40 : x
  2. Step 2: Convert to fraction form
    6,274.80/8,649.18 = 4,946.40/x
  3. Step 3: Cross multiply
    6,274.80x = 8,649.18 × 4,946.40
  4. Step 4: Simplify right side
    6,274.80x = 42,782,303.95
  5. Step 5: Solve for x
    x = 42,782,303.95/6,274.80
  6. Step 6: Final answer
    x = 6,818.11

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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.