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Finding the Fourth Proportional to 9,779.70, 14,658.48 and 4,852.74

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Solution

The fourth proportional to 9,779.70, 14,658.48 and 4,852.74 is: 7,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.70 : 14,658.48 = 4,852.74 : x
  2. Step 2: Convert to fraction form
    9,779.70/14,658.48 = 4,852.74/x
  3. Step 3: Cross multiply
    9,779.70x = 14,658.48 × 4,852.74
  4. Step 4: Simplify right side
    9,779.70x = 71,133,792.24
  5. Step 5: Solve for x
    x = 71,133,792.24/9,779.70
  6. Step 6: Final answer
    x = 7,273.62

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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.