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Finding the Fourth Proportional to 7,585.12, 10,468 and 4,228.16

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Solution

The fourth proportional to 7,585.12, 10,468 and 4,228.16 is: 5,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.12 : 10,468 = 4,228.16 : x
  2. Step 2: Convert to fraction form
    7,585.12/10,468 = 4,228.16/x
  3. Step 3: Cross multiply
    7,585.12x = 10,468 × 4,228.16
  4. Step 4: Simplify right side
    7,585.12x = 44,260,378.88
  5. Step 5: Solve for x
    x = 44,260,378.88/7,585.12
  6. Step 6: Final answer
    x = 5,835.16

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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.