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Finding the Fourth Proportional to 9,574.08, 13,218.78 and 7,332

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Solution

The fourth proportional to 9,574.08, 13,218.78 and 7,332 is: 10,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.08 : 13,218.78 = 7,332 : x
  2. Step 2: Convert to fraction form
    9,574.08/13,218.78 = 7,332/x
  3. Step 3: Cross multiply
    9,574.08x = 13,218.78 × 7,332
  4. Step 4: Simplify right side
    9,574.08x = 96,920,094.96
  5. Step 5: Solve for x
    x = 96,920,094.96/9,574.08
  6. Step 6: Final answer
    x = 10,123.18

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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.