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Finding the Fourth Proportional to 9,802.62, 14,695.72 and 6,832.35

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Solution

The fourth proportional to 9,802.62, 14,695.72 and 6,832.35 is: 10,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.62 : 14,695.72 = 6,832.35 : x
  2. Step 2: Convert to fraction form
    9,802.62/14,695.72 = 6,832.35/x
  3. Step 3: Cross multiply
    9,802.62x = 14,695.72 × 6,832.35
  4. Step 4: Simplify right side
    9,802.62x = 100,406,285.46
  5. Step 5: Solve for x
    x = 100,406,285.46/9,802.62
  6. Step 6: Final answer
    x = 10,242.80

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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.