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Finding the Fourth Proportional to 9,802.62, 14,739.47 and 9,032.16

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Solution

The fourth proportional to 9,802.62, 14,739.47 and 9,032.16 is: 13,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.62 : 14,739.47 = 9,032.16 : x
  2. Step 2: Convert to fraction form
    9,802.62/14,739.47 = 9,032.16/x
  3. Step 3: Cross multiply
    9,802.62x = 14,739.47 × 9,032.16
  4. Step 4: Simplify right side
    9,802.62x = 133,129,212.43
  5. Step 5: Solve for x
    x = 133,129,212.43/9,802.62
  6. Step 6: Final answer
    x = 13,580.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.