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Finding the Fourth Proportional to 7,193.04, 9,897.64 and 5,513.84

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Solution

The fourth proportional to 7,193.04, 9,897.64 and 5,513.84 is: 7,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.04 : 9,897.64 = 5,513.84 : x
  2. Step 2: Convert to fraction form
    7,193.04/9,897.64 = 5,513.84/x
  3. Step 3: Cross multiply
    7,193.04x = 9,897.64 × 5,513.84
  4. Step 4: Simplify right side
    7,193.04x = 54,574,003.34
  5. Step 5: Solve for x
    x = 54,574,003.34/7,193.04
  6. Step 6: Final answer
    x = 7,587.06

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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.