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Finding the Fourth Proportional to 7,000.70, 9,662.95 and 4,612.42

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Solution

The fourth proportional to 7,000.70, 9,662.95 and 4,612.42 is: 6,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.70 : 9,662.95 = 4,612.42 : x
  2. Step 2: Convert to fraction form
    7,000.70/9,662.95 = 4,612.42/x
  3. Step 3: Cross multiply
    7,000.70x = 9,662.95 × 4,612.42
  4. Step 4: Simplify right side
    7,000.70x = 44,569,583.84
  5. Step 5: Solve for x
    x = 44,569,583.84/7,000.70
  6. Step 6: Final answer
    x = 6,366.45

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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.