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Finding the Fourth Proportional to 10,599.66, 14,630.76 and 6,618.24

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Solution

The fourth proportional to 10,599.66, 14,630.76 and 6,618.24 is: 9,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.66 : 14,630.76 = 6,618.24 : x
  2. Step 2: Convert to fraction form
    10,599.66/14,630.76 = 6,618.24/x
  3. Step 3: Cross multiply
    10,599.66x = 14,630.76 × 6,618.24
  4. Step 4: Simplify right side
    10,599.66x = 96,829,881.06
  5. Step 5: Solve for x
    x = 96,829,881.06/10,599.66
  6. Step 6: Final answer
    x = 9,135.19

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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.