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Finding the Fourth Proportional to 10,640.25, 14,686.07 and 7,497.45

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Solution

The fourth proportional to 10,640.25, 14,686.07 and 7,497.45 is: 10,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.25 : 14,686.07 = 7,497.45 : x
  2. Step 2: Convert to fraction form
    10,640.25/14,686.07 = 7,497.45/x
  3. Step 3: Cross multiply
    10,640.25x = 14,686.07 × 7,497.45
  4. Step 4: Simplify right side
    10,640.25x = 110,108,038.03
  5. Step 5: Solve for x
    x = 110,108,038.03/10,640.25
  6. Step 6: Final answer
    x = 10,348.26

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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.