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Finding the Fourth Proportional to 9,597.51, 14,387.64 and 3,670.32

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Solution

The fourth proportional to 9,597.51, 14,387.64 and 3,670.32 is: 5,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.51 : 14,387.64 = 3,670.32 : x
  2. Step 2: Convert to fraction form
    9,597.51/14,387.64 = 3,670.32/x
  3. Step 3: Cross multiply
    9,597.51x = 14,387.64 × 3,670.32
  4. Step 4: Simplify right side
    9,597.51x = 52,807,183.47
  5. Step 5: Solve for x
    x = 52,807,183.47/9,597.51
  6. Step 6: Final answer
    x = 5,502.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.