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Finding the Fourth Proportional to 6,465.66, 8,924.76 and 4,228.98

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Solution

The fourth proportional to 6,465.66, 8,924.76 and 4,228.98 is: 5,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.66 : 8,924.76 = 4,228.98 : x
  2. Step 2: Convert to fraction form
    6,465.66/8,924.76 = 4,228.98/x
  3. Step 3: Cross multiply
    6,465.66x = 8,924.76 × 4,228.98
  4. Step 4: Simplify right side
    6,465.66x = 37,742,631.54
  5. Step 5: Solve for x
    x = 37,742,631.54/6,465.66
  6. Step 6: Final answer
    x = 5,837.40

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Half scale
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Double 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.