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Finding the Fourth Proportional to 9,802.34, 14,718.09 and 9,627.38

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Solution

The fourth proportional to 9,802.34, 14,718.09 and 9,627.38 is: 14,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.34 : 14,718.09 = 9,627.38 : x
  2. Step 2: Convert to fraction form
    9,802.34/14,718.09 = 9,627.38/x
  3. Step 3: Cross multiply
    9,802.34x = 14,718.09 × 9,627.38
  4. Step 4: Simplify right side
    9,802.34x = 141,696,645.30
  5. Step 5: Solve for x
    x = 141,696,645.30/9,802.34
  6. Step 6: Final answer
    x = 14,455.39

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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.