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Finding the Fourth Proportional to 10,034.45, 15,060.93 and 5,107.64

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Solution

The fourth proportional to 10,034.45, 15,060.93 and 5,107.64 is: 7,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.45 : 15,060.93 = 5,107.64 : x
  2. Step 2: Convert to fraction form
    10,034.45/15,060.93 = 5,107.64/x
  3. Step 3: Cross multiply
    10,034.45x = 15,060.93 × 5,107.64
  4. Step 4: Simplify right side
    10,034.45x = 76,925,808.51
  5. Step 5: Solve for x
    x = 76,925,808.51/10,034.45
  6. Step 6: Final answer
    x = 7,666.17

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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.