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Finding the Fourth Proportional to 6,503.70, 8,973.54 and 3,851.76

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Solution

The fourth proportional to 6,503.70, 8,973.54 and 3,851.76 is: 5,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.70 : 8,973.54 = 3,851.76 : x
  2. Step 2: Convert to fraction form
    6,503.70/8,973.54 = 3,851.76/x
  3. Step 3: Cross multiply
    6,503.70x = 8,973.54 × 3,851.76
  4. Step 4: Simplify right side
    6,503.70x = 34,563,922.43
  5. Step 5: Solve for x
    x = 34,563,922.43/6,503.70
  6. Step 6: Final answer
    x = 5,314.50

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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.