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Finding the Fourth Proportional to 9,674.64, 13,348.80 and 5,482.08

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Solution

The fourth proportional to 9,674.64, 13,348.80 and 5,482.08 is: 7,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.64 : 13,348.80 = 5,482.08 : x
  2. Step 2: Convert to fraction form
    9,674.64/13,348.80 = 5,482.08/x
  3. Step 3: Cross multiply
    9,674.64x = 13,348.80 × 5,482.08
  4. Step 4: Simplify right side
    9,674.64x = 73,179,189.50
  5. Step 5: Solve for x
    x = 73,179,189.50/9,674.64
  6. Step 6: Final answer
    x = 7,564.02

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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.