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Finding the Fourth Proportional to 6,904.23, 9,524.58 and 4,666.89

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Solution

The fourth proportional to 6,904.23, 9,524.58 and 4,666.89 is: 6,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.23 : 9,524.58 = 4,666.89 : x
  2. Step 2: Convert to fraction form
    6,904.23/9,524.58 = 4,666.89/x
  3. Step 3: Cross multiply
    6,904.23x = 9,524.58 × 4,666.89
  4. Step 4: Simplify right side
    6,904.23x = 44,450,167.16
  5. Step 5: Solve for x
    x = 44,450,167.16/6,904.23
  6. Step 6: Final answer
    x = 6,438.11

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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.