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Finding the Fourth Proportional to 10,502, 14,494.20 and 6,775.28

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Solution

The fourth proportional to 10,502, 14,494.20 and 6,775.28 is: 9,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502 : 14,494.20 = 6,775.28 : x
  2. Step 2: Convert to fraction form
    10,502/14,494.20 = 6,775.28/x
  3. Step 3: Cross multiply
    10,502x = 14,494.20 × 6,775.28
  4. Step 4: Simplify right side
    10,502x = 98,202,263.38
  5. Step 5: Solve for x
    x = 98,202,263.38/10,502
  6. Step 6: Final answer
    x = 9,350.82

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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.