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Finding the Fourth Proportional to 4,811.40, 6,624.93 and 4,101.66

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Solution

The fourth proportional to 4,811.40, 6,624.93 and 4,101.66 is: 5,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.40 : 6,624.93 = 4,101.66 : x
  2. Step 2: Convert to fraction form
    4,811.40/6,624.93 = 4,101.66/x
  3. Step 3: Cross multiply
    4,811.40x = 6,624.93 × 4,101.66
  4. Step 4: Simplify right side
    4,811.40x = 27,173,210.38
  5. Step 5: Solve for x
    x = 27,173,210.38/4,811.40
  6. Step 6: Final answer
    x = 5,647.67

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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.