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Finding the Fourth Proportional to 9,802.66, 14,703.98 and 3,561.51

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Solution

The fourth proportional to 9,802.66, 14,703.98 and 3,561.51 is: 5,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.66 : 14,703.98 = 3,561.51 : x
  2. Step 2: Convert to fraction form
    9,802.66/14,703.98 = 3,561.51/x
  3. Step 3: Cross multiply
    9,802.66x = 14,703.98 × 3,561.51
  4. Step 4: Simplify right side
    9,802.66x = 52,368,371.81
  5. Step 5: Solve for x
    x = 52,368,371.81/9,802.66
  6. Step 6: Final answer
    x = 5,342.26

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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.