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Finding the Fourth Proportional to 9,574.64, 13,214.19 and 5,382.89

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Solution

The fourth proportional to 9,574.64, 13,214.19 and 5,382.89 is: 7,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.64 : 13,214.19 = 5,382.89 : x
  2. Step 2: Convert to fraction form
    9,574.64/13,214.19 = 5,382.89/x
  3. Step 3: Cross multiply
    9,574.64x = 13,214.19 × 5,382.89
  4. Step 4: Simplify right side
    9,574.64x = 71,130,531.21
  5. Step 5: Solve for x
    x = 71,130,531.21/9,574.64
  6. Step 6: Final answer
    x = 7,429.06

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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.