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Finding the Fourth Proportional to 10,574.16, 14,567.80 and 8,802.68

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Solution

The fourth proportional to 10,574.16, 14,567.80 and 8,802.68 is: 12,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.16 : 14,567.80 = 8,802.68 : x
  2. Step 2: Convert to fraction form
    10,574.16/14,567.80 = 8,802.68/x
  3. Step 3: Cross multiply
    10,574.16x = 14,567.80 × 8,802.68
  4. Step 4: Simplify right side
    10,574.16x = 128,235,681.70
  5. Step 5: Solve for x
    x = 128,235,681.70/10,574.16
  6. Step 6: Final answer
    x = 12,127.27

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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.