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Finding the Fourth Proportional to 9,779.44, 14,666.89 and 5,831.80

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Solution

The fourth proportional to 9,779.44, 14,666.89 and 5,831.80 is: 8,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.44 : 14,666.89 = 5,831.80 : x
  2. Step 2: Convert to fraction form
    9,779.44/14,666.89 = 5,831.80/x
  3. Step 3: Cross multiply
    9,779.44x = 14,666.89 × 5,831.80
  4. Step 4: Simplify right side
    9,779.44x = 85,534,369.10
  5. Step 5: Solve for x
    x = 85,534,369.10/9,779.44
  6. Step 6: Final answer
    x = 8,746.35

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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.