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Finding the Fourth Proportional to 9,970.33, 14,926.53 and 5,797.61

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Solution

The fourth proportional to 9,970.33, 14,926.53 and 5,797.61 is: 8,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.33 : 14,926.53 = 5,797.61 : x
  2. Step 2: Convert to fraction form
    9,970.33/14,926.53 = 5,797.61/x
  3. Step 3: Cross multiply
    9,970.33x = 14,926.53 × 5,797.61
  4. Step 4: Simplify right side
    9,970.33x = 86,538,199.59
  5. Step 5: Solve for x
    x = 86,538,199.59/9,970.33
  6. Step 6: Final answer
    x = 8,679.57

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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.