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Finding the Fourth Proportional to 9,903.24, 14,857.34 and 6,987.24

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Solution

The fourth proportional to 9,903.24, 14,857.34 and 6,987.24 is: 10,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.24 : 14,857.34 = 6,987.24 : x
  2. Step 2: Convert to fraction form
    9,903.24/14,857.34 = 6,987.24/x
  3. Step 3: Cross multiply
    9,903.24x = 14,857.34 × 6,987.24
  4. Step 4: Simplify right side
    9,903.24x = 103,811,765.41
  5. Step 5: Solve for x
    x = 103,811,765.41/9,903.24
  6. Step 6: Final answer
    x = 10,482.61

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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.