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Finding the Fourth Proportional to 7,304.13, 10,077.03 and 6,597

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Solution

The fourth proportional to 7,304.13, 10,077.03 and 6,597 is: 9,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.13 : 10,077.03 = 6,597 : x
  2. Step 2: Convert to fraction form
    7,304.13/10,077.03 = 6,597/x
  3. Step 3: Cross multiply
    7,304.13x = 10,077.03 × 6,597
  4. Step 4: Simplify right side
    7,304.13x = 66,478,166.91
  5. Step 5: Solve for x
    x = 66,478,166.91/7,304.13
  6. Step 6: Final answer
    x = 9,101.45

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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.