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Finding the Fourth Proportional to 12,047.76, 16,627.68 and 7,331.16

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Solution

The fourth proportional to 12,047.76, 16,627.68 and 7,331.16 is: 10,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.76 : 16,627.68 = 7,331.16 : x
  2. Step 2: Convert to fraction form
    12,047.76/16,627.68 = 7,331.16/x
  3. Step 3: Cross multiply
    12,047.76x = 16,627.68 × 7,331.16
  4. Step 4: Simplify right side
    12,047.76x = 121,900,182.51
  5. Step 5: Solve for x
    x = 121,900,182.51/12,047.76
  6. Step 6: Final answer
    x = 10,118.08

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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.