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Finding the Fourth Proportional to 14,046, 21,075.15 and 6,655.74

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Solution

The fourth proportional to 14,046, 21,075.15 and 6,655.74 is: 9,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046 : 21,075.15 = 6,655.74 : x
  2. Step 2: Convert to fraction form
    14,046/21,075.15 = 6,655.74/x
  3. Step 3: Cross multiply
    14,046x = 21,075.15 × 6,655.74
  4. Step 4: Simplify right side
    14,046x = 140,270,718.86
  5. Step 5: Solve for x
    x = 140,270,718.86/14,046
  6. Step 6: Final answer
    x = 9,986.52

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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.