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Finding the Fourth Proportional to 10,802.88, 14,916.96 and 7,277.76

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Solution

The fourth proportional to 10,802.88, 14,916.96 and 7,277.76 is: 10,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.88 : 14,916.96 = 7,277.76 : x
  2. Step 2: Convert to fraction form
    10,802.88/14,916.96 = 7,277.76/x
  3. Step 3: Cross multiply
    10,802.88x = 14,916.96 × 7,277.76
  4. Step 4: Simplify right side
    10,802.88x = 108,562,054.81
  5. Step 5: Solve for x
    x = 108,562,054.81/10,802.88
  6. Step 6: Final answer
    x = 10,049.36

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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.