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Finding the Fourth Proportional to 14,157.24, 19,537 and 7,783.94

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Solution

The fourth proportional to 14,157.24, 19,537 and 7,783.94 is: 10,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.24 : 19,537 = 7,783.94 : x
  2. Step 2: Convert to fraction form
    14,157.24/19,537 = 7,783.94/x
  3. Step 3: Cross multiply
    14,157.24x = 19,537 × 7,783.94
  4. Step 4: Simplify right side
    14,157.24x = 152,074,738.10
  5. Step 5: Solve for x
    x = 152,074,738.10/14,157.24
  6. Step 6: Final answer
    x = 10,741.84

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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.