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Finding the Fourth Proportional to 9,480, 14,225.44 and 5,097.60

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Solution

The fourth proportional to 9,480, 14,225.44 and 5,097.60 is: 7,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480 : 14,225.44 = 5,097.60 : x
  2. Step 2: Convert to fraction form
    9,480/14,225.44 = 5,097.60/x
  3. Step 3: Cross multiply
    9,480x = 14,225.44 × 5,097.60
  4. Step 4: Simplify right side
    9,480x = 72,515,602.94
  5. Step 5: Solve for x
    x = 72,515,602.94/9,480
  6. Step 6: Final answer
    x = 7,649.33

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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.