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Finding the Fourth Proportional to 4,782.64, 6,581.64 and 4,754.32

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Solution

The fourth proportional to 4,782.64, 6,581.64 and 4,754.32 is: 6,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.64 : 6,581.64 = 4,754.32 : x
  2. Step 2: Convert to fraction form
    4,782.64/6,581.64 = 4,754.32/x
  3. Step 3: Cross multiply
    4,782.64x = 6,581.64 × 4,754.32
  4. Step 4: Simplify right side
    4,782.64x = 31,291,222.68
  5. Step 5: Solve for x
    x = 31,291,222.68/4,782.64
  6. Step 6: Final answer
    x = 6,542.67

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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.