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Finding the Fourth Proportional to 9,665.95, 14,476.92 and 5,762.29

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Solution

The fourth proportional to 9,665.95, 14,476.92 and 5,762.29 is: 8,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.95 : 14,476.92 = 5,762.29 : x
  2. Step 2: Convert to fraction form
    9,665.95/14,476.92 = 5,762.29/x
  3. Step 3: Cross multiply
    9,665.95x = 14,476.92 × 5,762.29
  4. Step 4: Simplify right side
    9,665.95x = 83,420,211.35
  5. Step 5: Solve for x
    x = 83,420,211.35/9,665.95
  6. Step 6: Final answer
    x = 8,630.32

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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.