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Finding the Fourth Proportional to 7,130.03, 9,837.86 and 4,476.47

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Solution

The fourth proportional to 7,130.03, 9,837.86 and 4,476.47 is: 6,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.03 : 9,837.86 = 4,476.47 : x
  2. Step 2: Convert to fraction form
    7,130.03/9,837.86 = 4,476.47/x
  3. Step 3: Cross multiply
    7,130.03x = 9,837.86 × 4,476.47
  4. Step 4: Simplify right side
    7,130.03x = 44,038,813.58
  5. Step 5: Solve for x
    x = 44,038,813.58/7,130.03
  6. Step 6: Final answer
    x = 6,176.53

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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.