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Finding the Fourth Proportional to 7,062.52, 9,746.76 and 3,918.64

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Solution

The fourth proportional to 7,062.52, 9,746.76 and 3,918.64 is: 5,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.52 : 9,746.76 = 3,918.64 : x
  2. Step 2: Convert to fraction form
    7,062.52/9,746.76 = 3,918.64/x
  3. Step 3: Cross multiply
    7,062.52x = 9,746.76 × 3,918.64
  4. Step 4: Simplify right side
    7,062.52x = 38,194,043.61
  5. Step 5: Solve for x
    x = 38,194,043.61/7,062.52
  6. Step 6: Final answer
    x = 5,407.99

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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.