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Finding the Fourth Proportional to 10,599.76, 14,636.94 and 6,627.64

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Solution

The fourth proportional to 10,599.76, 14,636.94 and 6,627.64 is: 9,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.76 : 14,636.94 = 6,627.64 : x
  2. Step 2: Convert to fraction form
    10,599.76/14,636.94 = 6,627.64/x
  3. Step 3: Cross multiply
    10,599.76x = 14,636.94 × 6,627.64
  4. Step 4: Simplify right side
    10,599.76x = 97,008,369.02
  5. Step 5: Solve for x
    x = 97,008,369.02/10,599.76
  6. Step 6: Final answer
    x = 9,151.94

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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.