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Finding the Fourth Proportional to 9,858.96, 13,612.93 and 6,506.55

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Solution

The fourth proportional to 9,858.96, 13,612.93 and 6,506.55 is: 8,984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.96 : 13,612.93 = 6,506.55 : x
  2. Step 2: Convert to fraction form
    9,858.96/13,612.93 = 6,506.55/x
  3. Step 3: Cross multiply
    9,858.96x = 13,612.93 × 6,506.55
  4. Step 4: Simplify right side
    9,858.96x = 88,573,193.43
  5. Step 5: Solve for x
    x = 88,573,193.43/9,858.96
  6. Step 6: Final answer
    x = 8,984.03

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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.