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Finding the Fourth Proportional to 4,217.40, 5,698.35 and 4,217.40

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Solution

The fourth proportional to 4,217.40, 5,698.35 and 4,217.40 is: 5,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.40 : 5,698.35 = 4,217.40 : x
  2. Step 2: Convert to fraction form
    4,217.40/5,698.35 = 4,217.40/x
  3. Step 3: Cross multiply
    4,217.40x = 5,698.35 × 4,217.40
  4. Step 4: Simplify right side
    4,217.40x = 24,032,221.29
  5. Step 5: Solve for x
    x = 24,032,221.29/4,217.40
  6. Step 6: Final answer
    x = 5,698.35

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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 (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.