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Finding the Fourth Proportional to 9,657.90, 14,508.45 and 9,264.30

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Solution

The fourth proportional to 9,657.90, 14,508.45 and 9,264.30 is: 13,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.90 : 14,508.45 = 9,264.30 : x
  2. Step 2: Convert to fraction form
    9,657.90/14,508.45 = 9,264.30/x
  3. Step 3: Cross multiply
    9,657.90x = 14,508.45 × 9,264.30
  4. Step 4: Simplify right side
    9,657.90x = 134,410,633.34
  5. Step 5: Solve for x
    x = 134,410,633.34/9,657.90
  6. Step 6: Final answer
    x = 13,917.17

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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.