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Finding the Fourth Proportional to 8,946.70, 12,347.59 and 5,409.94

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Solution

The fourth proportional to 8,946.70, 12,347.59 and 5,409.94 is: 7,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.70 : 12,347.59 = 5,409.94 : x
  2. Step 2: Convert to fraction form
    8,946.70/12,347.59 = 5,409.94/x
  3. Step 3: Cross multiply
    8,946.70x = 12,347.59 × 5,409.94
  4. Step 4: Simplify right side
    8,946.70x = 66,799,709.95
  5. Step 5: Solve for x
    x = 66,799,709.95/8,946.70
  6. Step 6: Final answer
    x = 7,466.41

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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.