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Finding the Fourth Proportional to 9,746.90, 14,632.65 and 7,796.82

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Solution

The fourth proportional to 9,746.90, 14,632.65 and 7,796.82 is: 11,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.90 : 14,632.65 = 7,796.82 : x
  2. Step 2: Convert to fraction form
    9,746.90/14,632.65 = 7,796.82/x
  3. Step 3: Cross multiply
    9,746.90x = 14,632.65 × 7,796.82
  4. Step 4: Simplify right side
    9,746.90x = 114,088,138.17
  5. Step 5: Solve for x
    x = 114,088,138.17/9,746.90
  6. Step 6: Final answer
    x = 11,705.08

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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.