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Finding the Fourth Proportional to 23,655.59, 35,478.81 and 7,858.16

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Solution

The fourth proportional to 23,655.59, 35,478.81 and 7,858.16 is: 11,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,655.59 : 35,478.81 = 7,858.16 : x
  2. Step 2: Convert to fraction form
    23,655.59/35,478.81 = 7,858.16/x
  3. Step 3: Cross multiply
    23,655.59x = 35,478.81 × 7,858.16
  4. Step 4: Simplify right side
    23,655.59x = 278,798,165.59
  5. Step 5: Solve for x
    x = 278,798,165.59/23,655.59
  6. Step 6: Final answer
    x = 11,785.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.