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Finding the Fourth Proportional to 7,642.58, 10,530.95 and 6,144.48

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Solution

The fourth proportional to 7,642.58, 10,530.95 and 6,144.48 is: 8,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.58 : 10,530.95 = 6,144.48 : x
  2. Step 2: Convert to fraction form
    7,642.58/10,530.95 = 6,144.48/x
  3. Step 3: Cross multiply
    7,642.58x = 10,530.95 × 6,144.48
  4. Step 4: Simplify right side
    7,642.58x = 64,707,180.93
  5. Step 5: Solve for x
    x = 64,707,180.93/7,642.58
  6. Step 6: Final answer
    x = 8,466.67

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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.