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Finding the Fourth Proportional to 6,574.53, 9,072.80 and 3,590.36

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Solution

The fourth proportional to 6,574.53, 9,072.80 and 3,590.36 is: 4,954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.53 : 9,072.80 = 3,590.36 : x
  2. Step 2: Convert to fraction form
    6,574.53/9,072.80 = 3,590.36/x
  3. Step 3: Cross multiply
    6,574.53x = 9,072.80 × 3,590.36
  4. Step 4: Simplify right side
    6,574.53x = 32,574,618.21
  5. Step 5: Solve for x
    x = 32,574,618.21/6,574.53
  6. Step 6: Final answer
    x = 4,954.67

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Half scale
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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.