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Finding the Fourth Proportional to 15,102.77, 22,653.54 and 7,707.06

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Solution

The fourth proportional to 15,102.77, 22,653.54 and 7,707.06 is: 11,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.77 : 22,653.54 = 7,707.06 : x
  2. Step 2: Convert to fraction form
    15,102.77/22,653.54 = 7,707.06/x
  3. Step 3: Cross multiply
    15,102.77x = 22,653.54 × 7,707.06
  4. Step 4: Simplify right side
    15,102.77x = 174,592,191.99
  5. Step 5: Solve for x
    x = 174,592,191.99/15,102.77
  6. Step 6: Final answer
    x = 11,560.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.