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Finding the Fourth Proportional to 11,470, 15,830.12 and 6,502

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Solution

The fourth proportional to 11,470, 15,830.12 and 6,502 is: 8,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470 : 15,830.12 = 6,502 : x
  2. Step 2: Convert to fraction form
    11,470/15,830.12 = 6,502/x
  3. Step 3: Cross multiply
    11,470x = 15,830.12 × 6,502
  4. Step 4: Simplify right side
    11,470x = 102,927,440.24
  5. Step 5: Solve for x
    x = 102,927,440.24/11,470
  6. Step 6: Final answer
    x = 8,973.62

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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.