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Finding the Fourth Proportional to 7,023.34, 9,694.14 and 4,369.16

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Solution

The fourth proportional to 7,023.34, 9,694.14 and 4,369.16 is: 6,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.34 : 9,694.14 = 4,369.16 : x
  2. Step 2: Convert to fraction form
    7,023.34/9,694.14 = 4,369.16/x
  3. Step 3: Cross multiply
    7,023.34x = 9,694.14 × 4,369.16
  4. Step 4: Simplify right side
    7,023.34x = 42,355,248.72
  5. Step 5: Solve for x
    x = 42,355,248.72/7,023.34
  6. Step 6: Final answer
    x = 6,030.64

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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.