Home / 10,746-14,831.10-6,556.68

Finding the Fourth Proportional to 10,746, 14,831.10 and 6,556.68

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Solution

The fourth proportional to 10,746, 14,831.10 and 6,556.68 is: 9,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746 : 14,831.10 = 6,556.68 : x
  2. Step 2: Convert to fraction form
    10,746/14,831.10 = 6,556.68/x
  3. Step 3: Cross multiply
    10,746x = 14,831.10 × 6,556.68
  4. Step 4: Simplify right side
    10,746x = 97,242,776.75
  5. Step 5: Solve for x
    x = 97,242,776.75/10,746
  6. Step 6: Final answer
    x = 9,049.21

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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.