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Finding the Fourth Proportional to 4,712.64, 7,068.24 and 1,250.16

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Solution

The fourth proportional to 4,712.64, 7,068.24 and 1,250.16 is: 1,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.64 : 7,068.24 = 1,250.16 : x
  2. Step 2: Convert to fraction form
    4,712.64/7,068.24 = 1,250.16/x
  3. Step 3: Cross multiply
    4,712.64x = 7,068.24 × 1,250.16
  4. Step 4: Simplify right side
    4,712.64x = 8,836,430.92
  5. Step 5: Solve for x
    x = 8,836,430.92/4,712.64
  6. Step 6: Final answer
    x = 1,875.05

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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.