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Finding the Fourth Proportional to 7,412.50, 10,228.95 and 4,055.46

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Solution

The fourth proportional to 7,412.50, 10,228.95 and 4,055.46 is: 5,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.50 : 10,228.95 = 4,055.46 : x
  2. Step 2: Convert to fraction form
    7,412.50/10,228.95 = 4,055.46/x
  3. Step 3: Cross multiply
    7,412.50x = 10,228.95 × 4,055.46
  4. Step 4: Simplify right side
    7,412.50x = 41,483,097.57
  5. Step 5: Solve for x
    x = 41,483,097.57/7,412.50
  6. Step 6: Final answer
    x = 5,596.37

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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.