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Finding the Fourth Proportional to 9,151.68, 12,598.32 and 8,030.64

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Solution

The fourth proportional to 9,151.68, 12,598.32 and 8,030.64 is: 11,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.68 : 12,598.32 = 8,030.64 : x
  2. Step 2: Convert to fraction form
    9,151.68/12,598.32 = 8,030.64/x
  3. Step 3: Cross multiply
    9,151.68x = 12,598.32 × 8,030.64
  4. Step 4: Simplify right side
    9,151.68x = 101,172,572.52
  5. Step 5: Solve for x
    x = 101,172,572.52/9,151.68
  6. Step 6: Final answer
    x = 11,055.08

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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.