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Finding the Fourth Proportional to 9,592.81, 14,384.32 and 4,394.23

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Solution

The fourth proportional to 9,592.81, 14,384.32 and 4,394.23 is: 6,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.81 : 14,384.32 = 4,394.23 : x
  2. Step 2: Convert to fraction form
    9,592.81/14,384.32 = 4,394.23/x
  3. Step 3: Cross multiply
    9,592.81x = 14,384.32 × 4,394.23
  4. Step 4: Simplify right side
    9,592.81x = 63,208,010.47
  5. Step 5: Solve for x
    x = 63,208,010.47/9,592.81
  6. Step 6: Final answer
    x = 6,589.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.