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Finding the Fourth Proportional to 10,495.70, 14,484.04 and 5,779.95

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Solution

The fourth proportional to 10,495.70, 14,484.04 and 5,779.95 is: 7,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.70 : 14,484.04 = 5,779.95 : x
  2. Step 2: Convert to fraction form
    10,495.70/14,484.04 = 5,779.95/x
  3. Step 3: Cross multiply
    10,495.70x = 14,484.04 × 5,779.95
  4. Step 4: Simplify right side
    10,495.70x = 83,717,027.00
  5. Step 5: Solve for x
    x = 83,717,027.00/10,495.70
  6. Step 6: Final answer
    x = 7,976.32

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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.