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Finding the Fourth Proportional to 9,095.68, 12,558 and 7,009.12

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Solution

The fourth proportional to 9,095.68, 12,558 and 7,009.12 is: 9,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.68 : 12,558 = 7,009.12 : x
  2. Step 2: Convert to fraction form
    9,095.68/12,558 = 7,009.12/x
  3. Step 3: Cross multiply
    9,095.68x = 12,558 × 7,009.12
  4. Step 4: Simplify right side
    9,095.68x = 88,020,528.96
  5. Step 5: Solve for x
    x = 88,020,528.96/9,095.68
  6. Step 6: Final answer
    x = 9,677.18

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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.