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Finding the Fourth Proportional to 9,946.74, 14,922 and 2,926.74

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Solution

The fourth proportional to 9,946.74, 14,922 and 2,926.74 is: 4,390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.74 : 14,922 = 2,926.74 : x
  2. Step 2: Convert to fraction form
    9,946.74/14,922 = 2,926.74/x
  3. Step 3: Cross multiply
    9,946.74x = 14,922 × 2,926.74
  4. Step 4: Simplify right side
    9,946.74x = 43,672,814.28
  5. Step 5: Solve for x
    x = 43,672,814.28/9,946.74
  6. Step 6: Final answer
    x = 4,390.67

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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.