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Finding the Fourth Proportional to 7,578.66, 11,393.64 and 6,038.04

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Solution

The fourth proportional to 7,578.66, 11,393.64 and 6,038.04 is: 9,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.66 : 11,393.64 = 6,038.04 : x
  2. Step 2: Convert to fraction form
    7,578.66/11,393.64 = 6,038.04/x
  3. Step 3: Cross multiply
    7,578.66x = 11,393.64 × 6,038.04
  4. Step 4: Simplify right side
    7,578.66x = 68,795,254.07
  5. Step 5: Solve for x
    x = 68,795,254.07/7,578.66
  6. Step 6: Final answer
    x = 9,077.50

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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.