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Finding the Fourth Proportional to 9,700.74, 14,569.57 and 6,028.63

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Solution

The fourth proportional to 9,700.74, 14,569.57 and 6,028.63 is: 9,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.74 : 14,569.57 = 6,028.63 : x
  2. Step 2: Convert to fraction form
    9,700.74/14,569.57 = 6,028.63/x
  3. Step 3: Cross multiply
    9,700.74x = 14,569.57 × 6,028.63
  4. Step 4: Simplify right side
    9,700.74x = 87,834,546.79
  5. Step 5: Solve for x
    x = 87,834,546.79/9,700.74
  6. Step 6: Final answer
    x = 9,054.42

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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.