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Finding the Fourth Proportional to 10,644.17, 14,674.64 and 7,453.17

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Solution

The fourth proportional to 10,644.17, 14,674.64 and 7,453.17 is: 10,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.17 : 14,674.64 = 7,453.17 : x
  2. Step 2: Convert to fraction form
    10,644.17/14,674.64 = 7,453.17/x
  3. Step 3: Cross multiply
    10,644.17x = 14,674.64 × 7,453.17
  4. Step 4: Simplify right side
    10,644.17x = 109,372,549.34
  5. Step 5: Solve for x
    x = 109,372,549.34/10,644.17
  6. Step 6: Final answer
    x = 10,275.35

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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.