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Finding the Fourth Proportional to 6,406.40, 8,841.48 and 4,048.76

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Solution

The fourth proportional to 6,406.40, 8,841.48 and 4,048.76 is: 5,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.40 : 8,841.48 = 4,048.76 : x
  2. Step 2: Convert to fraction form
    6,406.40/8,841.48 = 4,048.76/x
  3. Step 3: Cross multiply
    6,406.40x = 8,841.48 × 4,048.76
  4. Step 4: Simplify right side
    6,406.40x = 35,797,030.56
  5. Step 5: Solve for x
    x = 35,797,030.56/6,406.40
  6. Step 6: Final answer
    x = 5,587.70

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Half scale
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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.