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Finding the Fourth Proportional to 5,967.54, 8,235 and 3,315.06

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Solution

The fourth proportional to 5,967.54, 8,235 and 3,315.06 is: 4,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.54 : 8,235 = 3,315.06 : x
  2. Step 2: Convert to fraction form
    5,967.54/8,235 = 3,315.06/x
  3. Step 3: Cross multiply
    5,967.54x = 8,235 × 3,315.06
  4. Step 4: Simplify right side
    5,967.54x = 27,299,519.10
  5. Step 5: Solve for x
    x = 27,299,519.10/5,967.54
  6. Step 6: Final answer
    x = 4,574.67

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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.