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Finding the Fourth Proportional to 9,307.96, 12,851.78 and 6,470.60

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Solution

The fourth proportional to 9,307.96, 12,851.78 and 6,470.60 is: 8,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.96 : 12,851.78 = 6,470.60 : x
  2. Step 2: Convert to fraction form
    9,307.96/12,851.78 = 6,470.60/x
  3. Step 3: Cross multiply
    9,307.96x = 12,851.78 × 6,470.60
  4. Step 4: Simplify right side
    9,307.96x = 83,158,727.67
  5. Step 5: Solve for x
    x = 83,158,727.67/9,307.96
  6. Step 6: Final answer
    x = 8,934.15

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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.