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Finding the Fourth Proportional to 9,159.84, 13,739.60 and 4,774.88

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Solution

The fourth proportional to 9,159.84, 13,739.60 and 4,774.88 is: 7,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.84 : 13,739.60 = 4,774.88 : x
  2. Step 2: Convert to fraction form
    9,159.84/13,739.60 = 4,774.88/x
  3. Step 3: Cross multiply
    9,159.84x = 13,739.60 × 4,774.88
  4. Step 4: Simplify right side
    9,159.84x = 65,604,941.25
  5. Step 5: Solve for x
    x = 65,604,941.25/9,159.84
  6. Step 6: Final answer
    x = 7,162.24

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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.