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Finding the Fourth Proportional to 9,506, 13,118.56 and 5,314.26

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Solution

The fourth proportional to 9,506, 13,118.56 and 5,314.26 is: 7,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506 : 13,118.56 = 5,314.26 : x
  2. Step 2: Convert to fraction form
    9,506/13,118.56 = 5,314.26/x
  3. Step 3: Cross multiply
    9,506x = 13,118.56 × 5,314.26
  4. Step 4: Simplify right side
    9,506x = 69,715,438.67
  5. Step 5: Solve for x
    x = 69,715,438.67/9,506
  6. Step 6: Final answer
    x = 7,333.84

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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.