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Finding the Fourth Proportional to 7,597.69, 11,341.54 and 6,564.33

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Solution

The fourth proportional to 7,597.69, 11,341.54 and 6,564.33 is: 9,798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.69 : 11,341.54 = 6,564.33 : x
  2. Step 2: Convert to fraction form
    7,597.69/11,341.54 = 6,564.33/x
  3. Step 3: Cross multiply
    7,597.69x = 11,341.54 × 6,564.33
  4. Step 4: Simplify right side
    7,597.69x = 74,449,619.47
  5. Step 5: Solve for x
    x = 74,449,619.47/7,597.69
  6. Step 6: Final answer
    x = 9,798.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.