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Finding the Fourth Proportional to 7,228.14, 9,975.05 and 4,041.32

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Solution

The fourth proportional to 7,228.14, 9,975.05 and 4,041.32 is: 5,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.14 : 9,975.05 = 4,041.32 : x
  2. Step 2: Convert to fraction form
    7,228.14/9,975.05 = 4,041.32/x
  3. Step 3: Cross multiply
    7,228.14x = 9,975.05 × 4,041.32
  4. Step 4: Simplify right side
    7,228.14x = 40,312,298.98
  5. Step 5: Solve for x
    x = 40,312,298.98/7,228.14
  6. Step 6: Final answer
    x = 5,577.13

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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.