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Finding the Fourth Proportional to 7,585.76, 11,399.16 and 7,158.08

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Solution

The fourth proportional to 7,585.76, 11,399.16 and 7,158.08 is: 10,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.76 : 11,399.16 = 7,158.08 : x
  2. Step 2: Convert to fraction form
    7,585.76/11,399.16 = 7,158.08/x
  3. Step 3: Cross multiply
    7,585.76x = 11,399.16 × 7,158.08
  4. Step 4: Simplify right side
    7,585.76x = 81,596,099.21
  5. Step 5: Solve for x
    x = 81,596,099.21/7,585.76
  6. Step 6: Final answer
    x = 10,756.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.