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Finding the Fourth Proportional to 6,627.98, 9,152.54 and 4,946.46

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Solution

The fourth proportional to 6,627.98, 9,152.54 and 4,946.46 is: 6,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.98 : 9,152.54 = 4,946.46 : x
  2. Step 2: Convert to fraction form
    6,627.98/9,152.54 = 4,946.46/x
  3. Step 3: Cross multiply
    6,627.98x = 9,152.54 × 4,946.46
  4. Step 4: Simplify right side
    6,627.98x = 45,272,673.01
  5. Step 5: Solve for x
    x = 45,272,673.01/6,627.98
  6. Step 6: Final answer
    x = 6,830.54

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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.