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Finding the Fourth Proportional to 34,923.71, 52,393.70 and 9,964.10

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Solution

The fourth proportional to 34,923.71, 52,393.70 and 9,964.10 is: 14,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,923.71 : 52,393.70 = 9,964.10 : x
  2. Step 2: Convert to fraction form
    34,923.71/52,393.70 = 9,964.10/x
  3. Step 3: Cross multiply
    34,923.71x = 52,393.70 × 9,964.10
  4. Step 4: Simplify right side
    34,923.71x = 522,056,222.06
  5. Step 5: Solve for x
    x = 522,056,222.06/34,923.71
  6. Step 6: Final answer
    x = 14,948.47

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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.