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Finding the Fourth Proportional to 9,573.04, 13,211 and 5,381.36

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Solution

The fourth proportional to 9,573.04, 13,211 and 5,381.36 is: 7,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.04 : 13,211 = 5,381.36 : x
  2. Step 2: Convert to fraction form
    9,573.04/13,211 = 5,381.36/x
  3. Step 3: Cross multiply
    9,573.04x = 13,211 × 5,381.36
  4. Step 4: Simplify right side
    9,573.04x = 71,093,146.96
  5. Step 5: Solve for x
    x = 71,093,146.96/9,573.04
  6. Step 6: Final answer
    x = 7,426.39

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Half scale
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Double scale
Find fourth proportional to 9,574.04, 13,212.38 and 5,382.36
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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.