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Finding the Fourth Proportional to 14,002.50, 19,323.51 and 7,714.74

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Solution

The fourth proportional to 14,002.50, 19,323.51 and 7,714.74 is: 10,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.50 : 19,323.51 = 7,714.74 : x
  2. Step 2: Convert to fraction form
    14,002.50/19,323.51 = 7,714.74/x
  3. Step 3: Cross multiply
    14,002.50x = 19,323.51 × 7,714.74
  4. Step 4: Simplify right side
    14,002.50x = 149,075,855.54
  5. Step 5: Solve for x
    x = 149,075,855.54/14,002.50
  6. Step 6: Final answer
    x = 10,646.37

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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.