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Finding the Fourth Proportional to 9,833.92, 14,760.12 and 6,549.28

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Solution

The fourth proportional to 9,833.92, 14,760.12 and 6,549.28 is: 9,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.92 : 14,760.12 = 6,549.28 : x
  2. Step 2: Convert to fraction form
    9,833.92/14,760.12 = 6,549.28/x
  3. Step 3: Cross multiply
    9,833.92x = 14,760.12 × 6,549.28
  4. Step 4: Simplify right side
    9,833.92x = 96,668,158.71
  5. Step 5: Solve for x
    x = 96,668,158.71/9,833.92
  6. Step 6: Final answer
    x = 9,830.07

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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.