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Finding the Fourth Proportional to 9,697.06, 14,545.68 and 7,962.04

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Solution

The fourth proportional to 9,697.06, 14,545.68 and 7,962.04 is: 11,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.06 : 14,545.68 = 7,962.04 : x
  2. Step 2: Convert to fraction form
    9,697.06/14,545.68 = 7,962.04/x
  3. Step 3: Cross multiply
    9,697.06x = 14,545.68 × 7,962.04
  4. Step 4: Simplify right side
    9,697.06x = 115,813,285.99
  5. Step 5: Solve for x
    x = 115,813,285.99/9,697.06
  6. Step 6: Final answer
    x = 11,943.13

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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.