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Finding the Fourth Proportional to 6,559.04, 9,787.82 and 5,858.16

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Solution

The fourth proportional to 6,559.04, 9,787.82 and 5,858.16 is: 8,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.04 : 9,787.82 = 5,858.16 : x
  2. Step 2: Convert to fraction form
    6,559.04/9,787.82 = 5,858.16/x
  3. Step 3: Cross multiply
    6,559.04x = 9,787.82 × 5,858.16
  4. Step 4: Simplify right side
    6,559.04x = 57,338,615.61
  5. Step 5: Solve for x
    x = 57,338,615.61/6,559.04
  6. Step 6: Final answer
    x = 8,741.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.