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Finding the Fourth Proportional to 6,074.76, 8,328.53 and 5,964.06

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Solution

The fourth proportional to 6,074.76, 8,328.53 and 5,964.06 is: 8,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.76 : 8,328.53 = 5,964.06 : x
  2. Step 2: Convert to fraction form
    6,074.76/8,328.53 = 5,964.06/x
  3. Step 3: Cross multiply
    6,074.76x = 8,328.53 × 5,964.06
  4. Step 4: Simplify right side
    6,074.76x = 49,671,822.81
  5. Step 5: Solve for x
    x = 49,671,822.81/6,074.76
  6. Step 6: Final answer
    x = 8,176.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.