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Finding the Fourth Proportional to 13,495.40, 20,240.40 and 6,475.40

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Solution

The fourth proportional to 13,495.40, 20,240.40 and 6,475.40 is: 9,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.40 : 20,240.40 = 6,475.40 : x
  2. Step 2: Convert to fraction form
    13,495.40/20,240.40 = 6,475.40/x
  3. Step 3: Cross multiply
    13,495.40x = 20,240.40 × 6,475.40
  4. Step 4: Simplify right side
    13,495.40x = 131,064,686.16
  5. Step 5: Solve for x
    x = 131,064,686.16/13,495.40
  6. Step 6: Final answer
    x = 9,711.80

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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.