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Finding the Fourth Proportional to 7,937.45, 10,950 and 5,580.98

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Solution

The fourth proportional to 7,937.45, 10,950 and 5,580.98 is: 7,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.45 : 10,950 = 5,580.98 : x
  2. Step 2: Convert to fraction form
    7,937.45/10,950 = 5,580.98/x
  3. Step 3: Cross multiply
    7,937.45x = 10,950 × 5,580.98
  4. Step 4: Simplify right side
    7,937.45x = 61,111,731.00
  5. Step 5: Solve for x
    x = 61,111,731.00/7,937.45
  6. Step 6: Final answer
    x = 7,699.16

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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.