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Finding the Fourth Proportional to 9,569.04, 13,208.64 and 7,054.08

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Solution

The fourth proportional to 9,569.04, 13,208.64 and 7,054.08 is: 9,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.04 : 13,208.64 = 7,054.08 : x
  2. Step 2: Convert to fraction form
    9,569.04/13,208.64 = 7,054.08/x
  3. Step 3: Cross multiply
    9,569.04x = 13,208.64 × 7,054.08
  4. Step 4: Simplify right side
    9,569.04x = 93,174,803.25
  5. Step 5: Solve for x
    x = 93,174,803.25/9,569.04
  6. Step 6: Final answer
    x = 9,737.11

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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.