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Finding the Fourth Proportional to 9,959.71, 14,938.34 and 2,564.21

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Solution

The fourth proportional to 9,959.71, 14,938.34 and 2,564.21 is: 3,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.71 : 14,938.34 = 2,564.21 : x
  2. Step 2: Convert to fraction form
    9,959.71/14,938.34 = 2,564.21/x
  3. Step 3: Cross multiply
    9,959.71x = 14,938.34 × 2,564.21
  4. Step 4: Simplify right side
    9,959.71x = 38,305,040.81
  5. Step 5: Solve for x
    x = 38,305,040.81/9,959.71
  6. Step 6: Final answer
    x = 3,846.00

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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.