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Finding the Fourth Proportional to 12,025.63, 16,597.19 and 7,309

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Solution

The fourth proportional to 12,025.63, 16,597.19 and 7,309 is: 10,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.63 : 16,597.19 = 7,309 : x
  2. Step 2: Convert to fraction form
    12,025.63/16,597.19 = 7,309/x
  3. Step 3: Cross multiply
    12,025.63x = 16,597.19 × 7,309
  4. Step 4: Simplify right side
    12,025.63x = 121,308,861.71
  5. Step 5: Solve for x
    x = 121,308,861.71/12,025.63
  6. Step 6: Final answer
    x = 10,087.53

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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.