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Finding the Fourth Proportional to 7,175.58, 9,904.04 and 4,785.67

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Solution

The fourth proportional to 7,175.58, 9,904.04 and 4,785.67 is: 6,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.58 : 9,904.04 = 4,785.67 : x
  2. Step 2: Convert to fraction form
    7,175.58/9,904.04 = 4,785.67/x
  3. Step 3: Cross multiply
    7,175.58x = 9,904.04 × 4,785.67
  4. Step 4: Simplify right side
    7,175.58x = 47,397,467.11
  5. Step 5: Solve for x
    x = 47,397,467.11/7,175.58
  6. Step 6: Final answer
    x = 6,605.38

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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.