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Finding the Fourth Proportional to 8,047.65, 11,106.54 and 4,511.46

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Solution

The fourth proportional to 8,047.65, 11,106.54 and 4,511.46 is: 6,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.65 : 11,106.54 = 4,511.46 : x
  2. Step 2: Convert to fraction form
    8,047.65/11,106.54 = 4,511.46/x
  3. Step 3: Cross multiply
    8,047.65x = 11,106.54 × 4,511.46
  4. Step 4: Simplify right side
    8,047.65x = 50,106,710.95
  5. Step 5: Solve for x
    x = 50,106,710.95/8,047.65
  6. Step 6: Final answer
    x = 6,226.25

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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.