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Finding the Fourth Proportional to 12,407.76, 18,604.44 and 5,006.16

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Solution

The fourth proportional to 12,407.76, 18,604.44 and 5,006.16 is: 7,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.76 : 18,604.44 = 5,006.16 : x
  2. Step 2: Convert to fraction form
    12,407.76/18,604.44 = 5,006.16/x
  3. Step 3: Cross multiply
    12,407.76x = 18,604.44 × 5,006.16
  4. Step 4: Simplify right side
    12,407.76x = 93,136,803.35
  5. Step 5: Solve for x
    x = 93,136,803.35/12,407.76
  6. Step 6: Final answer
    x = 7,506.34

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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.