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Finding the Fourth Proportional to 4,776.16, 7,164.24 and 1,314.40

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Solution

The fourth proportional to 4,776.16, 7,164.24 and 1,314.40 is: 1,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.16 : 7,164.24 = 1,314.40 : x
  2. Step 2: Convert to fraction form
    4,776.16/7,164.24 = 1,314.40/x
  3. Step 3: Cross multiply
    4,776.16x = 7,164.24 × 1,314.40
  4. Step 4: Simplify right side
    4,776.16x = 9,416,677.06
  5. Step 5: Solve for x
    x = 9,416,677.06/4,776.16
  6. Step 6: Final answer
    x = 1,971.60

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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.