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Finding the Fourth Proportional to 7,001.80, 9,637.14 and 6,598.60

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Solution

The fourth proportional to 7,001.80, 9,637.14 and 6,598.60 is: 9,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.80 : 9,637.14 = 6,598.60 : x
  2. Step 2: Convert to fraction form
    7,001.80/9,637.14 = 6,598.60/x
  3. Step 3: Cross multiply
    7,001.80x = 9,637.14 × 6,598.60
  4. Step 4: Simplify right side
    7,001.80x = 63,591,632.00
  5. Step 5: Solve for x
    x = 63,591,632.00/7,001.80
  6. Step 6: Final answer
    x = 9,082.18

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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.