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Finding the Fourth Proportional to 7,411.46, 10,228.01 and 4,054.46

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Solution

The fourth proportional to 7,411.46, 10,228.01 and 4,054.46 is: 5,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.46 : 10,228.01 = 4,054.46 : x
  2. Step 2: Convert to fraction form
    7,411.46/10,228.01 = 4,054.46/x
  3. Step 3: Cross multiply
    7,411.46x = 10,228.01 × 4,054.46
  4. Step 4: Simplify right side
    7,411.46x = 41,468,986.01
  5. Step 5: Solve for x
    x = 41,468,986.01/7,411.46
  6. Step 6: Final answer
    x = 5,595.26

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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.