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Finding the Fourth Proportional to 8,507.94, 11,741.00 and 4,970.40

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Solution

The fourth proportional to 8,507.94, 11,741.00 and 4,970.40 is: 6,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.94 : 11,741.00 = 4,970.40 : x
  2. Step 2: Convert to fraction form
    8,507.94/11,741.00 = 4,970.40/x
  3. Step 3: Cross multiply
    8,507.94x = 11,741.00 × 4,970.40
  4. Step 4: Simplify right side
    8,507.94x = 58,357,441.55
  5. Step 5: Solve for x
    x = 58,357,441.55/8,507.94
  6. Step 6: Final answer
    x = 6,859.17

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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.