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Finding the Fourth Proportional to 10,476, 14,452.56 and 6,495.12

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Solution

The fourth proportional to 10,476, 14,452.56 and 6,495.12 is: 8,960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476 : 14,452.56 = 6,495.12 : x
  2. Step 2: Convert to fraction form
    10,476/14,452.56 = 6,495.12/x
  3. Step 3: Cross multiply
    10,476x = 14,452.56 × 6,495.12
  4. Step 4: Simplify right side
    10,476x = 93,871,111.51
  5. Step 5: Solve for x
    x = 93,871,111.51/10,476
  6. Step 6: Final answer
    x = 8,960.59

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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.