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Finding the Fourth Proportional to 3,164.16, 4,746.24 and 972.84

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Solution

The fourth proportional to 3,164.16, 4,746.24 and 972.84 is: 1,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.16 : 4,746.24 = 972.84 : x
  2. Step 2: Convert to fraction form
    3,164.16/4,746.24 = 972.84/x
  3. Step 3: Cross multiply
    3,164.16x = 4,746.24 × 972.84
  4. Step 4: Simplify right side
    3,164.16x = 4,617,332.12
  5. Step 5: Solve for x
    x = 4,617,332.12/3,164.16
  6. Step 6: Final answer
    x = 1,459.26

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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.