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Finding the Fourth Proportional to 14,485.40, 21,728.10 and 9,301.40

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Solution

The fourth proportional to 14,485.40, 21,728.10 and 9,301.40 is: 13,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,485.40 : 21,728.10 = 9,301.40 : x
  2. Step 2: Convert to fraction form
    14,485.40/21,728.10 = 9,301.40/x
  3. Step 3: Cross multiply
    14,485.40x = 21,728.10 × 9,301.40
  4. Step 4: Simplify right side
    14,485.40x = 202,101,749.34
  5. Step 5: Solve for x
    x = 202,101,749.34/14,485.40
  6. Step 6: Final answer
    x = 13,952.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.