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Finding the Fourth Proportional to 4,569.48, 6,854.94 and 1,937.00

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Solution

The fourth proportional to 4,569.48, 6,854.94 and 1,937.00 is: 2,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.48 : 6,854.94 = 1,937.00 : x
  2. Step 2: Convert to fraction form
    4,569.48/6,854.94 = 1,937.00/x
  3. Step 3: Cross multiply
    4,569.48x = 6,854.94 × 1,937.00
  4. Step 4: Simplify right side
    4,569.48x = 13,277,984.51
  5. Step 5: Solve for x
    x = 13,277,984.51/4,569.48
  6. Step 6: Final answer
    x = 2,905.80

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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.