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Finding the Fourth Proportional to 9,700.02, 13,386.15 and 9,364.75

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Solution

The fourth proportional to 9,700.02, 13,386.15 and 9,364.75 is: 12,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.02 : 13,386.15 = 9,364.75 : x
  2. Step 2: Convert to fraction form
    9,700.02/13,386.15 = 9,364.75/x
  3. Step 3: Cross multiply
    9,700.02x = 13,386.15 × 9,364.75
  4. Step 4: Simplify right side
    9,700.02x = 125,357,914.75
  5. Step 5: Solve for x
    x = 125,357,914.75/9,700.02
  6. Step 6: Final answer
    x = 12,923.47

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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.