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Finding the Fourth Proportional to 9,674.01, 14,515.46 and 5,733.08

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Solution

The fourth proportional to 9,674.01, 14,515.46 and 5,733.08 is: 8,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.01 : 14,515.46 = 5,733.08 : x
  2. Step 2: Convert to fraction form
    9,674.01/14,515.46 = 5,733.08/x
  3. Step 3: Cross multiply
    9,674.01x = 14,515.46 × 5,733.08
  4. Step 4: Simplify right side
    9,674.01x = 83,218,264.75
  5. Step 5: Solve for x
    x = 83,218,264.75/9,674.01
  6. Step 6: Final answer
    x = 8,602.25

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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.