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Finding the Fourth Proportional to 10,630.94, 14,690.94 and 7,973.74

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Solution

The fourth proportional to 10,630.94, 14,690.94 and 7,973.74 is: 11,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.94 : 14,690.94 = 7,973.74 : x
  2. Step 2: Convert to fraction form
    10,630.94/14,690.94 = 7,973.74/x
  3. Step 3: Cross multiply
    10,630.94x = 14,690.94 × 7,973.74
  4. Step 4: Simplify right side
    10,630.94x = 117,141,735.92
  5. Step 5: Solve for x
    x = 117,141,735.92/10,630.94
  6. Step 6: Final answer
    x = 11,018.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.