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Finding the Fourth Proportional to 9,802.14, 13,526.88 and 5,325.88

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Solution

The fourth proportional to 9,802.14, 13,526.88 and 5,325.88 is: 7,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.14 : 13,526.88 = 5,325.88 : x
  2. Step 2: Convert to fraction form
    9,802.14/13,526.88 = 5,325.88/x
  3. Step 3: Cross multiply
    9,802.14x = 13,526.88 × 5,325.88
  4. Step 4: Simplify right side
    9,802.14x = 72,042,539.65
  5. Step 5: Solve for x
    x = 72,042,539.65/9,802.14
  6. Step 6: Final answer
    x = 7,349.67

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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.