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Finding the Fourth Proportional to 10,070.94, 13,894.02 and 7,424.64

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Solution

The fourth proportional to 10,070.94, 13,894.02 and 7,424.64 is: 10,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.94 : 13,894.02 = 7,424.64 : x
  2. Step 2: Convert to fraction form
    10,070.94/13,894.02 = 7,424.64/x
  3. Step 3: Cross multiply
    10,070.94x = 13,894.02 × 7,424.64
  4. Step 4: Simplify right side
    10,070.94x = 103,158,096.65
  5. Step 5: Solve for x
    x = 103,158,096.65/10,070.94
  6. Step 6: Final answer
    x = 10,243.14

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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.