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Finding the Fourth Proportional to 13,994.64, 19,312.08 and 7,944.02

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Solution

The fourth proportional to 13,994.64, 19,312.08 and 7,944.02 is: 10,962.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.64 : 19,312.08 = 7,944.02 : x
  2. Step 2: Convert to fraction form
    13,994.64/19,312.08 = 7,944.02/x
  3. Step 3: Cross multiply
    13,994.64x = 19,312.08 × 7,944.02
  4. Step 4: Simplify right side
    13,994.64x = 153,415,549.76
  5. Step 5: Solve for x
    x = 153,415,549.76/13,994.64
  6. Step 6: Final answer
    x = 10,962.45

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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.