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Finding the Fourth Proportional to 6,473.70, 9,705.60 and 4,623.66

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Solution

The fourth proportional to 6,473.70, 9,705.60 and 4,623.66 is: 6,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.70 : 9,705.60 = 4,623.66 : x
  2. Step 2: Convert to fraction form
    6,473.70/9,705.60 = 4,623.66/x
  3. Step 3: Cross multiply
    6,473.70x = 9,705.60 × 4,623.66
  4. Step 4: Simplify right side
    6,473.70x = 44,875,394.50
  5. Step 5: Solve for x
    x = 44,875,394.50/6,473.70
  6. Step 6: Final answer
    x = 6,931.95

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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.