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Finding the Fourth Proportional to 8,354.93, 11,533.95 and 6,462.23

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Solution

The fourth proportional to 8,354.93, 11,533.95 and 6,462.23 is: 8,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.93 : 11,533.95 = 6,462.23 : x
  2. Step 2: Convert to fraction form
    8,354.93/11,533.95 = 6,462.23/x
  3. Step 3: Cross multiply
    8,354.93x = 11,533.95 × 6,462.23
  4. Step 4: Simplify right side
    8,354.93x = 74,534,980.04
  5. Step 5: Solve for x
    x = 74,534,980.04/8,354.93
  6. Step 6: Final answer
    x = 8,921.08

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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.