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Finding the Fourth Proportional to 7,437, 10,263.06 and 4,125

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Solution

The fourth proportional to 7,437, 10,263.06 and 4,125 is: 5,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437 : 10,263.06 = 4,125 : x
  2. Step 2: Convert to fraction form
    7,437/10,263.06 = 4,125/x
  3. Step 3: Cross multiply
    7,437x = 10,263.06 × 4,125
  4. Step 4: Simplify right side
    7,437x = 42,335,122.50
  5. Step 5: Solve for x
    x = 42,335,122.50/7,437
  6. Step 6: Final answer
    x = 5,692.50

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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.