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Finding the Fourth Proportional to 11,486.50, 15,852.78 and 7,010.14

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Solution

The fourth proportional to 11,486.50, 15,852.78 and 7,010.14 is: 9,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.50 : 15,852.78 = 7,010.14 : x
  2. Step 2: Convert to fraction form
    11,486.50/15,852.78 = 7,010.14/x
  3. Step 3: Cross multiply
    11,486.50x = 15,852.78 × 7,010.14
  4. Step 4: Simplify right side
    11,486.50x = 111,130,207.19
  5. Step 5: Solve for x
    x = 111,130,207.19/11,486.50
  6. Step 6: Final answer
    x = 9,674.85

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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.