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Finding the Fourth Proportional to 9,802.32, 13,526.28 and 7,943.76

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Solution

The fourth proportional to 9,802.32, 13,526.28 and 7,943.76 is: 10,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.32 : 13,526.28 = 7,943.76 : x
  2. Step 2: Convert to fraction form
    9,802.32/13,526.28 = 7,943.76/x
  3. Step 3: Cross multiply
    9,802.32x = 13,526.28 × 7,943.76
  4. Step 4: Simplify right side
    9,802.32x = 107,449,522.01
  5. Step 5: Solve for x
    x = 107,449,522.01/9,802.32
  6. Step 6: Final answer
    x = 10,961.64

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.