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Finding the Fourth Proportional to 9,703.84, 14,568.06 and 8,080.24

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Solution

The fourth proportional to 9,703.84, 14,568.06 and 8,080.24 is: 12,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.84 : 14,568.06 = 8,080.24 : x
  2. Step 2: Convert to fraction form
    9,703.84/14,568.06 = 8,080.24/x
  3. Step 3: Cross multiply
    9,703.84x = 14,568.06 × 8,080.24
  4. Step 4: Simplify right side
    9,703.84x = 117,713,421.13
  5. Step 5: Solve for x
    x = 117,713,421.13/9,703.84
  6. Step 6: Final answer
    x = 12,130.60

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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.