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Finding the Fourth Proportional to 7,055.84, 9,741.52 and 4,539.12

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Solution

The fourth proportional to 7,055.84, 9,741.52 and 4,539.12 is: 6,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.84 : 9,741.52 = 4,539.12 : x
  2. Step 2: Convert to fraction form
    7,055.84/9,741.52 = 4,539.12/x
  3. Step 3: Cross multiply
    7,055.84x = 9,741.52 × 4,539.12
  4. Step 4: Simplify right side
    7,055.84x = 44,217,928.26
  5. Step 5: Solve for x
    x = 44,217,928.26/7,055.84
  6. Step 6: Final answer
    x = 6,266.86

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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.