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Finding the Fourth Proportional to 9,283.64, 12,813.48 and 7,263.02

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Solution

The fourth proportional to 9,283.64, 12,813.48 and 7,263.02 is: 10,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.64 : 12,813.48 = 7,263.02 : x
  2. Step 2: Convert to fraction form
    9,283.64/12,813.48 = 7,263.02/x
  3. Step 3: Cross multiply
    9,283.64x = 12,813.48 × 7,263.02
  4. Step 4: Simplify right side
    9,283.64x = 93,064,561.51
  5. Step 5: Solve for x
    x = 93,064,561.51/9,283.64
  6. Step 6: Final answer
    x = 10,024.58

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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.