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Finding the Fourth Proportional to 10,495.46, 14,483.74 and 5,779.74

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Solution

The fourth proportional to 10,495.46, 14,483.74 and 5,779.74 is: 7,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.46 : 14,483.74 = 5,779.74 : x
  2. Step 2: Convert to fraction form
    10,495.46/14,483.74 = 5,779.74/x
  3. Step 3: Cross multiply
    10,495.46x = 14,483.74 × 5,779.74
  4. Step 4: Simplify right side
    10,495.46x = 83,712,251.43
  5. Step 5: Solve for x
    x = 83,712,251.43/10,495.46
  6. Step 6: Final answer
    x = 7,976.04

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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.