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Finding the Fourth Proportional to 13,783.64, 19,030.54 and 10,591.22

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Solution

The fourth proportional to 13,783.64, 19,030.54 and 10,591.22 is: 14,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.64 : 19,030.54 = 10,591.22 : x
  2. Step 2: Convert to fraction form
    13,783.64/19,030.54 = 10,591.22/x
  3. Step 3: Cross multiply
    13,783.64x = 19,030.54 × 10,591.22
  4. Step 4: Simplify right side
    13,783.64x = 201,556,635.86
  5. Step 5: Solve for x
    x = 201,556,635.86/13,783.64
  6. Step 6: Final answer
    x = 14,622.89

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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.