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Finding the Fourth Proportional to 6,877.58, 10,303.10 and 4,106.48

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Solution

The fourth proportional to 6,877.58, 10,303.10 and 4,106.48 is: 6,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.58 : 10,303.10 = 4,106.48 : x
  2. Step 2: Convert to fraction form
    6,877.58/10,303.10 = 4,106.48/x
  3. Step 3: Cross multiply
    6,877.58x = 10,303.10 × 4,106.48
  4. Step 4: Simplify right side
    6,877.58x = 42,309,474.09
  5. Step 5: Solve for x
    x = 42,309,474.09/6,877.58
  6. Step 6: Final answer
    x = 6,151.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.