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Finding the Fourth Proportional to 14,416.57, 21,607.44 and 7,009.93

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Solution

The fourth proportional to 14,416.57, 21,607.44 and 7,009.93 is: 10,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.57 : 21,607.44 = 7,009.93 : x
  2. Step 2: Convert to fraction form
    14,416.57/21,607.44 = 7,009.93/x
  3. Step 3: Cross multiply
    14,416.57x = 21,607.44 × 7,009.93
  4. Step 4: Simplify right side
    14,416.57x = 151,466,641.88
  5. Step 5: Solve for x
    x = 151,466,641.88/14,416.57
  6. Step 6: Final answer
    x = 10,506.43

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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.