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Finding the Fourth Proportional to 9,859.67, 13,583.22 and 6,870.08

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Solution

The fourth proportional to 9,859.67, 13,583.22 and 6,870.08 is: 9,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.67 : 13,583.22 = 6,870.08 : x
  2. Step 2: Convert to fraction form
    9,859.67/13,583.22 = 6,870.08/x
  3. Step 3: Cross multiply
    9,859.67x = 13,583.22 × 6,870.08
  4. Step 4: Simplify right side
    9,859.67x = 93,317,808.06
  5. Step 5: Solve for x
    x = 93,317,808.06/9,859.67
  6. Step 6: Final answer
    x = 9,464.60

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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.