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Finding the Fourth Proportional to 7,010, 10,526.90 and 4,684.94

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Solution

The fourth proportional to 7,010, 10,526.90 and 4,684.94 is: 7,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010 : 10,526.90 = 4,684.94 : x
  2. Step 2: Convert to fraction form
    7,010/10,526.90 = 4,684.94/x
  3. Step 3: Cross multiply
    7,010x = 10,526.90 × 4,684.94
  4. Step 4: Simplify right side
    7,010x = 49,317,894.89
  5. Step 5: Solve for x
    x = 49,317,894.89/7,010
  6. Step 6: Final answer
    x = 7,035.36

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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.