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Finding the Fourth Proportional to 6,852.63, 9,457.68 and 4,972.75

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Solution

The fourth proportional to 6,852.63, 9,457.68 and 4,972.75 is: 6,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.63 : 9,457.68 = 4,972.75 : x
  2. Step 2: Convert to fraction form
    6,852.63/9,457.68 = 4,972.75/x
  3. Step 3: Cross multiply
    6,852.63x = 9,457.68 × 4,972.75
  4. Step 4: Simplify right side
    6,852.63x = 47,030,678.22
  5. Step 5: Solve for x
    x = 47,030,678.22/6,852.63
  6. Step 6: Final answer
    x = 6,863.16

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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.