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Finding the Fourth Proportional to 9,952.40, 14,831.02 and 9,077.60

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Solution

The fourth proportional to 9,952.40, 14,831.02 and 9,077.60 is: 13,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.40 : 14,831.02 = 9,077.60 : x
  2. Step 2: Convert to fraction form
    9,952.40/14,831.02 = 9,077.60/x
  3. Step 3: Cross multiply
    9,952.40x = 14,831.02 × 9,077.60
  4. Step 4: Simplify right side
    9,952.40x = 134,630,067.15
  5. Step 5: Solve for x
    x = 134,630,067.15/9,952.40
  6. Step 6: Final answer
    x = 13,527.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.