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Finding the Fourth Proportional to 9,864.46, 13,612.93 and 5,890.92

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Solution

The fourth proportional to 9,864.46, 13,612.93 and 5,890.92 is: 8,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.46 : 13,612.93 = 5,890.92 : x
  2. Step 2: Convert to fraction form
    9,864.46/13,612.93 = 5,890.92/x
  3. Step 3: Cross multiply
    9,864.46x = 13,612.93 × 5,890.92
  4. Step 4: Simplify right side
    9,864.46x = 80,192,681.60
  5. Step 5: Solve for x
    x = 80,192,681.60/9,864.46
  6. Step 6: Final answer
    x = 8,129.45

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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.