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Finding the Fourth Proportional to 7,102.79, 9,802.29 and 3,916.07

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Solution

The fourth proportional to 7,102.79, 9,802.29 and 3,916.07 is: 5,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.79 : 9,802.29 = 3,916.07 : x
  2. Step 2: Convert to fraction form
    7,102.79/9,802.29 = 3,916.07/x
  3. Step 3: Cross multiply
    7,102.79x = 9,802.29 × 3,916.07
  4. Step 4: Simplify right side
    7,102.79x = 38,386,404.79
  5. Step 5: Solve for x
    x = 38,386,404.79/7,102.79
  6. Step 6: Final answer
    x = 5,404.42

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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.