Home / 10,743.84-14,827.32-6,552

Finding the Fourth Proportional to 10,743.84, 14,827.32 and 6,552

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Solution

The fourth proportional to 10,743.84, 14,827.32 and 6,552 is: 9,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.84 : 14,827.32 = 6,552 : x
  2. Step 2: Convert to fraction form
    10,743.84/14,827.32 = 6,552/x
  3. Step 3: Cross multiply
    10,743.84x = 14,827.32 × 6,552
  4. Step 4: Simplify right side
    10,743.84x = 97,148,600.64
  5. Step 5: Solve for x
    x = 97,148,600.64/10,743.84
  6. Step 6: Final answer
    x = 9,042.26

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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.