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Finding the Fourth Proportional to 9,854.81, 13,596.08 and 7,586.84

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Solution

The fourth proportional to 9,854.81, 13,596.08 and 7,586.84 is: 10,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.81 : 13,596.08 = 7,586.84 : x
  2. Step 2: Convert to fraction form
    9,854.81/13,596.08 = 7,586.84/x
  3. Step 3: Cross multiply
    9,854.81x = 13,596.08 × 7,586.84
  4. Step 4: Simplify right side
    9,854.81x = 103,151,279.64
  5. Step 5: Solve for x
    x = 103,151,279.64/9,854.81
  6. Step 6: Final answer
    x = 10,467.10

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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.