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Finding the Fourth Proportional to 10,804.07, 16,206.10 and 2,596.07

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Solution

The fourth proportional to 10,804.07, 16,206.10 and 2,596.07 is: 3,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.07 : 16,206.10 = 2,596.07 : x
  2. Step 2: Convert to fraction form
    10,804.07/16,206.10 = 2,596.07/x
  3. Step 3: Cross multiply
    10,804.07x = 16,206.10 × 2,596.07
  4. Step 4: Simplify right side
    10,804.07x = 42,072,076.02
  5. Step 5: Solve for x
    x = 42,072,076.02/10,804.07
  6. Step 6: Final answer
    x = 3,894.10

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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.