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Finding the Fourth Proportional to 9,571.34, 14,386.29 and 7,938.38

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Solution

The fourth proportional to 9,571.34, 14,386.29 and 7,938.38 is: 11,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.34 : 14,386.29 = 7,938.38 : x
  2. Step 2: Convert to fraction form
    9,571.34/14,386.29 = 7,938.38/x
  3. Step 3: Cross multiply
    9,571.34x = 14,386.29 × 7,938.38
  4. Step 4: Simplify right side
    9,571.34x = 114,203,836.81
  5. Step 5: Solve for x
    x = 114,203,836.81/9,571.34
  6. Step 6: Final answer
    x = 11,931.85

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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.