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Finding the Fourth Proportional to 7,014.24, 9,675 and 4,656.36

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Solution

The fourth proportional to 7,014.24, 9,675 and 4,656.36 is: 6,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.24 : 9,675 = 4,656.36 : x
  2. Step 2: Convert to fraction form
    7,014.24/9,675 = 4,656.36/x
  3. Step 3: Cross multiply
    7,014.24x = 9,675 × 4,656.36
  4. Step 4: Simplify right side
    7,014.24x = 45,050,283
  5. Step 5: Solve for x
    x = 45,050,283/7,014.24
  6. Step 6: Final answer
    x = 6,422.69

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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.