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Finding the Fourth Proportional to 9,802.46, 13,527.06 and 5,326.13

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Solution

The fourth proportional to 9,802.46, 13,527.06 and 5,326.13 is: 7,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.46 : 13,527.06 = 5,326.13 : x
  2. Step 2: Convert to fraction form
    9,802.46/13,527.06 = 5,326.13/x
  3. Step 3: Cross multiply
    9,802.46x = 13,527.06 × 5,326.13
  4. Step 4: Simplify right side
    9,802.46x = 72,046,880.08
  5. Step 5: Solve for x
    x = 72,046,880.08/9,802.46
  6. Step 6: Final answer
    x = 7,349.88

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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.