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Finding the Fourth Proportional to 9,744.70, 14,607.45 and 4,815.10

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Solution

The fourth proportional to 9,744.70, 14,607.45 and 4,815.10 is: 7,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.70 : 14,607.45 = 4,815.10 : x
  2. Step 2: Convert to fraction form
    9,744.70/14,607.45 = 4,815.10/x
  3. Step 3: Cross multiply
    9,744.70x = 14,607.45 × 4,815.10
  4. Step 4: Simplify right side
    9,744.70x = 70,336,332.50
  5. Step 5: Solve for x
    x = 70,336,332.50/9,744.70
  6. Step 6: Final answer
    x = 7,217.91

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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.