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Finding the Fourth Proportional to 9,527.60, 13,170.12 and 7,946.48

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Solution

The fourth proportional to 9,527.60, 13,170.12 and 7,946.48 is: 10,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.60 : 13,170.12 = 7,946.48 : x
  2. Step 2: Convert to fraction form
    9,527.60/13,170.12 = 7,946.48/x
  3. Step 3: Cross multiply
    9,527.60x = 13,170.12 × 7,946.48
  4. Step 4: Simplify right side
    9,527.60x = 104,656,095.18
  5. Step 5: Solve for x
    x = 104,656,095.18/9,527.60
  6. Step 6: Final answer
    x = 10,984.52

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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.