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Finding the Fourth Proportional to 7,585.95, 10,468.97 and 4,228.79

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Solution

The fourth proportional to 7,585.95, 10,468.97 and 4,228.79 is: 5,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.95 : 10,468.97 = 4,228.79 : x
  2. Step 2: Convert to fraction form
    7,585.95/10,468.97 = 4,228.79/x
  3. Step 3: Cross multiply
    7,585.95x = 10,468.97 × 4,228.79
  4. Step 4: Simplify right side
    7,585.95x = 44,271,002.16
  5. Step 5: Solve for x
    x = 44,271,002.16/7,585.95
  6. Step 6: Final answer
    x = 5,835.92

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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.