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Finding the Fourth Proportional to 4,693.94, 7,041.14 and 1,407.06

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Solution

The fourth proportional to 4,693.94, 7,041.14 and 1,407.06 is: 2,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.94 : 7,041.14 = 1,407.06 : x
  2. Step 2: Convert to fraction form
    4,693.94/7,041.14 = 1,407.06/x
  3. Step 3: Cross multiply
    4,693.94x = 7,041.14 × 1,407.06
  4. Step 4: Simplify right side
    4,693.94x = 9,907,306.45
  5. Step 5: Solve for x
    x = 9,907,306.45/4,693.94
  6. Step 6: Final answer
    x = 2,110.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.