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Finding the Fourth Proportional to 9,852.16, 13,597.52 and 9,528.16

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Solution

The fourth proportional to 9,852.16, 13,597.52 and 9,528.16 is: 13,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.16 : 13,597.52 = 9,528.16 : x
  2. Step 2: Convert to fraction form
    9,852.16/13,597.52 = 9,528.16/x
  3. Step 3: Cross multiply
    9,852.16x = 13,597.52 × 9,528.16
  4. Step 4: Simplify right side
    9,852.16x = 129,559,346.16
  5. Step 5: Solve for x
    x = 129,559,346.16/9,852.16
  6. Step 6: Final answer
    x = 13,150.35

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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.