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Finding the Fourth Proportional to 7,507.94, 10,365.10 and 4,524.50

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Solution

The fourth proportional to 7,507.94, 10,365.10 and 4,524.50 is: 6,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.94 : 10,365.10 = 4,524.50 : x
  2. Step 2: Convert to fraction form
    7,507.94/10,365.10 = 4,524.50/x
  3. Step 3: Cross multiply
    7,507.94x = 10,365.10 × 4,524.50
  4. Step 4: Simplify right side
    7,507.94x = 46,896,894.95
  5. Step 5: Solve for x
    x = 46,896,894.95/7,507.94
  6. Step 6: Final answer
    x = 6,246.31

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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.