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Finding the Fourth Proportional to 15,056.92, 20,783.04 and 9,752.08

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Solution

The fourth proportional to 15,056.92, 20,783.04 and 9,752.08 is: 13,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,056.92 : 20,783.04 = 9,752.08 : x
  2. Step 2: Convert to fraction form
    15,056.92/20,783.04 = 9,752.08/x
  3. Step 3: Cross multiply
    15,056.92x = 20,783.04 × 9,752.08
  4. Step 4: Simplify right side
    15,056.92x = 202,677,868.72
  5. Step 5: Solve for x
    x = 202,677,868.72/15,056.92
  6. Step 6: Final answer
    x = 13,460.78

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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.