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Finding the Fourth Proportional to 14,271.64, 21,407.64 and 5,031.16

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Solution

The fourth proportional to 14,271.64, 21,407.64 and 5,031.16 is: 7,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.64 : 21,407.64 = 5,031.16 : x
  2. Step 2: Convert to fraction form
    14,271.64/21,407.64 = 5,031.16/x
  3. Step 3: Cross multiply
    14,271.64x = 21,407.64 × 5,031.16
  4. Step 4: Simplify right side
    14,271.64x = 107,705,262.06
  5. Step 5: Solve for x
    x = 107,705,262.06/14,271.64
  6. Step 6: Final answer
    x = 7,546.80

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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.