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Finding the Fourth Proportional to 9,595.16, 14,403.22 and 6,593.50

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Solution

The fourth proportional to 9,595.16, 14,403.22 and 6,593.50 is: 9,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.16 : 14,403.22 = 6,593.50 : x
  2. Step 2: Convert to fraction form
    9,595.16/14,403.22 = 6,593.50/x
  3. Step 3: Cross multiply
    9,595.16x = 14,403.22 × 6,593.50
  4. Step 4: Simplify right side
    9,595.16x = 94,967,632.59
  5. Step 5: Solve for x
    x = 94,967,632.59/9,595.16
  6. Step 6: Final answer
    x = 9,897.45

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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.