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Finding the Fourth Proportional to 7,165.94, 9,892.33 and 4,779.88

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Solution

The fourth proportional to 7,165.94, 9,892.33 and 4,779.88 is: 6,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.94 : 9,892.33 = 4,779.88 : x
  2. Step 2: Convert to fraction form
    7,165.94/9,892.33 = 4,779.88/x
  3. Step 3: Cross multiply
    7,165.94x = 9,892.33 × 4,779.88
  4. Step 4: Simplify right side
    7,165.94x = 47,284,113.64
  5. Step 5: Solve for x
    x = 47,284,113.64/7,165.94
  6. Step 6: Final answer
    x = 6,598.46

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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.