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Finding the Fourth Proportional to 7,570.99, 11,364.73 and 5,742.10

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Solution

The fourth proportional to 7,570.99, 11,364.73 and 5,742.10 is: 8,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.99 : 11,364.73 = 5,742.10 : x
  2. Step 2: Convert to fraction form
    7,570.99/11,364.73 = 5,742.10/x
  3. Step 3: Cross multiply
    7,570.99x = 11,364.73 × 5,742.10
  4. Step 4: Simplify right side
    7,570.99x = 65,257,416.13
  5. Step 5: Solve for x
    x = 65,257,416.13/7,570.99
  6. Step 6: Final answer
    x = 8,619.40

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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.