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Finding the Fourth Proportional to 14,088.23, 19,440.90 and 7,714.90

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Solution

The fourth proportional to 14,088.23, 19,440.90 and 7,714.90 is: 10,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,088.23 : 19,440.90 = 7,714.90 : x
  2. Step 2: Convert to fraction form
    14,088.23/19,440.90 = 7,714.90/x
  3. Step 3: Cross multiply
    14,088.23x = 19,440.90 × 7,714.90
  4. Step 4: Simplify right side
    14,088.23x = 149,984,463.63
  5. Step 5: Solve for x
    x = 149,984,463.63/14,088.23
  6. Step 6: Final answer
    x = 10,646.08

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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.