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Finding the Fourth Proportional to 11,437.56, 15,751.08 and 9,831.24

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Solution

The fourth proportional to 11,437.56, 15,751.08 and 9,831.24 is: 13,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.56 : 15,751.08 = 9,831.24 : x
  2. Step 2: Convert to fraction form
    11,437.56/15,751.08 = 9,831.24/x
  3. Step 3: Cross multiply
    11,437.56x = 15,751.08 × 9,831.24
  4. Step 4: Simplify right side
    11,437.56x = 154,852,647.74
  5. Step 5: Solve for x
    x = 154,852,647.74/11,437.56
  6. Step 6: Final answer
    x = 13,538.96

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1.5x scale

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.