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Finding the Fourth Proportional to 7,580.04, 11,369.98 and 2,963

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Solution

The fourth proportional to 7,580.04, 11,369.98 and 2,963 is: 4,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.04 : 11,369.98 = 2,963 : x
  2. Step 2: Convert to fraction form
    7,580.04/11,369.98 = 2,963/x
  3. Step 3: Cross multiply
    7,580.04x = 11,369.98 × 2,963
  4. Step 4: Simplify right side
    7,580.04x = 33,689,250.74
  5. Step 5: Solve for x
    x = 33,689,250.74/7,580.04
  6. Step 6: Final answer
    x = 4,444.47

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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.