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Finding the Fourth Proportional to 4,705.40, 6,332.85 and 4,705.40

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Solution

The fourth proportional to 4,705.40, 6,332.85 and 4,705.40 is: 6,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.40 : 6,332.85 = 4,705.40 : x
  2. Step 2: Convert to fraction form
    4,705.40/6,332.85 = 4,705.40/x
  3. Step 3: Cross multiply
    4,705.40x = 6,332.85 × 4,705.40
  4. Step 4: Simplify right side
    4,705.40x = 29,798,592.39
  5. Step 5: Solve for x
    x = 29,798,592.39/4,705.40
  6. Step 6: Final answer
    x = 6,332.85

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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.