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Finding the Fourth Proportional to 9,835.92, 14,763.14 and 6,551.32

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Solution

The fourth proportional to 9,835.92, 14,763.14 and 6,551.32 is: 9,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.92 : 14,763.14 = 6,551.32 : x
  2. Step 2: Convert to fraction form
    9,835.92/14,763.14 = 6,551.32/x
  3. Step 3: Cross multiply
    9,835.92x = 14,763.14 × 6,551.32
  4. Step 4: Simplify right side
    9,835.92x = 96,718,054.34
  5. Step 5: Solve for x
    x = 96,718,054.34/9,835.92
  6. Step 6: Final answer
    x = 9,833.15

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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.