Home / 10,024.74-13,828.50-7,783.02

Finding the Fourth Proportional to 10,024.74, 13,828.50 and 7,783.02

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Solution

The fourth proportional to 10,024.74, 13,828.50 and 7,783.02 is: 10,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.74 : 13,828.50 = 7,783.02 : x
  2. Step 2: Convert to fraction form
    10,024.74/13,828.50 = 7,783.02/x
  3. Step 3: Cross multiply
    10,024.74x = 13,828.50 × 7,783.02
  4. Step 4: Simplify right side
    10,024.74x = 107,627,492.07
  5. Step 5: Solve for x
    x = 107,627,492.07/10,024.74
  6. Step 6: Final answer
    x = 10,736.19

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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.